MathsGee Answers - Recent questions tagged numbers
https://mathsgee.com/tag/numbers
Powered by Question2AnswerFind a and $b$ if $3 \sqrt{7} / 3-\sqrt{7}+3=\sqrt{7} / 3+\sqrt{7}=a+b \sqrt{7}$
https://mathsgee.com/30123/find-a-and-b-if-3-sqrt-7-3-sqrt-7-3-sqrt-7-3-sqrt-7-a-b-sqrt-7
Find a and $b$ if $3 \sqrt{7} / 3-\sqrt{7}+3=\sqrt{7} / 3+\sqrt{7}=a+b \sqrt{7}$Mathematicshttps://mathsgee.com/30123/find-a-and-b-if-3-sqrt-7-3-sqrt-7-3-sqrt-7-3-sqrt-7-a-b-sqrt-7Sat, 19 Jun 2021 07:11:02 +0000What are repeated quadratic factors?
https://mathsgee.com/30106/what-are-repeated-quadratic-factors
What are repeated quadratic factors?Mathematicshttps://mathsgee.com/30106/what-are-repeated-quadratic-factorsSat, 19 Jun 2021 02:14:02 +0000What are linear factors?
https://mathsgee.com/30102/what-are-linear-factors
What are linear factors?Mathematicshttps://mathsgee.com/30102/what-are-linear-factorsSat, 19 Jun 2021 02:09:17 +0000What are repeated linear factors?
https://mathsgee.com/30100/what-are-repeated-linear-factors
What are repeated linear factors?Mathematicshttps://mathsgee.com/30100/what-are-repeated-linear-factorsSat, 19 Jun 2021 02:08:08 +0000What are quadratic factors?
https://mathsgee.com/30098/what-are-quadratic-factors
What are quadratic factors?Mathematicshttps://mathsgee.com/30098/what-are-quadratic-factorsSat, 19 Jun 2021 02:06:46 +0000What are complex conjugates?
https://mathsgee.com/30080/what-are-complex-conjugates
What are complex conjugates?Mathematicshttps://mathsgee.com/30080/what-are-complex-conjugatesSat, 19 Jun 2021 01:40:47 +0000How are complex numbers related to real numbers?
https://mathsgee.com/30078/how-are-complex-numbers-related-to-real-numbers
How are complex numbers related to real numbers?Mathematicshttps://mathsgee.com/30078/how-are-complex-numbers-related-to-real-numbersSat, 19 Jun 2021 01:39:10 +0000Is $f(x)=2 x-x^{2}$ even, odd, or neither?
https://mathsgee.com/30076/is-f-x-2-x-x-2-even-odd-or-neither
Is $f(x)=2 x-x^{2}$ even, odd, or neither?Mathematicshttps://mathsgee.com/30076/is-f-x-2-x-x-2-even-odd-or-neitherSat, 19 Jun 2021 01:37:30 +0000Simplify the following algebraic expression: $\frac{16 x^{2}}{4 x}-\frac{21 x^{3} y^{2}}{7 x^{2} y^{2}}$
https://mathsgee.com/30032/simplify-the-following-algebraic-expression-frac-16-frac-21
Simplify the following algebraic expression: $\frac{16 x^{2}}{4 x}-\frac{21 x^{3} y^{2}}{7 x^{2} y^{2}}$Mathematicshttps://mathsgee.com/30032/simplify-the-following-algebraic-expression-frac-16-frac-21Thu, 17 Jun 2021 15:50:18 +0000Solve the linear equation $\frac{3 m}{4}+2 m=4 m-15$
https://mathsgee.com/30011/solve-the-linear-equation-frac-3-m-4-2-m-4-m-15
Solve the linear equation $\frac{3 m}{4}+2 m=4 m-15$Mathematicshttps://mathsgee.com/30011/solve-the-linear-equation-frac-3-m-4-2-m-4-m-15Thu, 17 Jun 2021 15:26:33 +0000Solve for $x$ in $\frac{5}{x}+\frac{1}{x}=\frac{2}{x}+2$
https://mathsgee.com/30010/solve-for-x-in-frac-5-x-frac-1-x-frac-2-x-2
Solve for $x$ in $\dfrac{5}{x}+\dfrac{1}{x}=\dfrac{2}{x}+2$Mathematicshttps://mathsgee.com/30010/solve-for-x-in-frac-5-x-frac-1-x-frac-2-x-2Thu, 17 Jun 2021 15:25:36 +0000Simplify $9 x+3 y-\frac{7}{2} x+4 y$
https://mathsgee.com/29994/simplify-9-x-3-y-frac-7-2-x-4-y
Simplify $9 x+3 y-\frac{7}{2} x+4 y$Mathematicshttps://mathsgee.com/29994/simplify-9-x-3-y-frac-7-2-x-4-yThu, 17 Jun 2021 15:05:38 +0000How many three digit numbers are there whose first digit equals the sum of the second and third digits?
https://mathsgee.com/29942/numbers-there-whose-first-digit-equals-second-third-digits
How many three digit numbers are there whose first digit equals the sum of the second and third digits?Mathematicshttps://mathsgee.com/29942/numbers-there-whose-first-digit-equals-second-third-digitsWed, 16 Jun 2021 09:12:02 +0000Find the area of the shaded triangle if the area of an equilateral triangle $\triangle A B C$ is 36
https://mathsgee.com/29941/find-area-shaded-triangle-area-equilateral-triangle-triangle
<p>Find the area of the shaded triangle if the area of an equilateral triangle $\triangle A B C$ is 36</p>
<p><img alt="" src="https://mathsgee.com/?qa=blob&qa_blobid=9192212372798176632"></p>Mathematicshttps://mathsgee.com/29941/find-area-shaded-triangle-area-equilateral-triangle-triangleWed, 16 Jun 2021 09:02:18 +0000Three four-digit numbers are written on cards. Cards are in position as is shown in the image. The sum of those three numbers is $10,126 .$ Which digits are covered?
https://mathsgee.com/29940/numbers-written-position-three-numbers-which-digits-covered
<p>Three four-digit numbers are written on cards. Cards are in position as is shown in the image. The sum of those three numbers is $10,126 .$ Which digits are covered?</p>
<p><img alt="" src="https://mathsgee.com/?qa=blob&qa_blobid=14813456947622747195" style="height:177px; width:326px"></p>Mathematicshttps://mathsgee.com/29940/numbers-written-position-three-numbers-which-digits-coveredWed, 16 Jun 2021 09:00:35 +0000A boy imagined four-digit multiple of 5 with different digits. If the first digit is erased, the obtained number is multiple of $9 .$ If the second digit of imagined number is erased, the obtained number is multiple of 11 .
https://mathsgee.com/29938/imagined-multiple-different-multiple-imagined-obtained-multiple
A boy imagined four-digit multiple of 5 with different digits. If the first digit is erased, the obtained number is multiple of $9 .$ If the second digit of imagined number is erased, the obtained number is multiple of 11 . If the third digit of imagined number is erased, the obtained number is multiple of 7 . How many numbers satisfy given conditions?Mathematicshttps://mathsgee.com/29938/imagined-multiple-different-multiple-imagined-obtained-multipleWed, 16 Jun 2021 08:58:01 +0000How many natural numbers $n$ satisfy given conditions: when 5 is added to $n$ it gives a perfect square and when 11 is subtracted from $n$ it also gives a perfect square?
https://mathsgee.com/29937/natural-numbers-satisfy-conditions-perfect-subtracted-perfect
How many natural numbers $n$ satisfy given conditions: when 5 is added to $n$ it gives a perfect square and when 11 is subtracted from $n$ it also gives a perfect square?Mathematicshttps://mathsgee.com/29937/natural-numbers-satisfy-conditions-perfect-subtracted-perfectWed, 16 Jun 2021 08:57:03 +0000Let $\overline{a b 5 c}$ be all four-digit multiples of number 36 with distinct digits. How many numbers satisfy given conditions?
https://mathsgee.com/29936/overline-multiples-number-distinct-numbers-satisfy-conditions
Let $\overline{a b 5 c}$ be all four-digit multiples of number 36 with distinct digits. How many numbers satisfy given conditions?Mathematicshttps://mathsgee.com/29936/overline-multiples-number-distinct-numbers-satisfy-conditionsWed, 16 Jun 2021 08:56:19 +0000Multiples of 7 are written next to each other $714212835 \ldots$. Find 2020 th digit.
https://mathsgee.com/29934/multiples-written-next-each-other-714212835-ldots-digit
Multiples of 7 are written next to each other $714212835 \ldots$. Find 2020 th digit.Mathematicshttps://mathsgee.com/29934/multiples-written-next-each-other-714212835-ldots-digitWed, 16 Jun 2021 08:54:43 +0000How many three-digit numbers have the first digit equal to the sum of the other two digits?
https://mathsgee.com/29933/many-three-digit-numbers-have-first-digit-equal-other-digits
How many three-digit numbers have the first digit equal to the sum of the other two digits?Mathematicshttps://mathsgee.com/29933/many-three-digit-numbers-have-first-digit-equal-other-digitsWed, 16 Jun 2021 08:54:05 +0000Given the graphs of $f(x), f^{\prime}(x)$ and $f^{\prime \prime}(x)$. Determine which is which.
https://mathsgee.com/29929/given-the-graphs-prime-and-prime-prime-determine-which-which
<p>Given the graphs of $f(x), f^{\prime}(x)$ and $f^{\prime \prime}(x)$. Determine which is which.</p>
<p><img alt="" src="https://mathsgee.com/?qa=blob&qa_blobid=5383811100399947921" style="height:320px; width:320px"></p>Mathematicshttps://mathsgee.com/29929/given-the-graphs-prime-and-prime-prime-determine-which-whichWed, 16 Jun 2021 08:49:54 +0000In the obtuse triangle $A B C, \angle B=23^{\circ},|A B|=20$ in., and $|B C|=30$ in.. The length of the height from the point $B$ is:
https://mathsgee.com/29908/obtuse-triangle-angle-circ-20-the-length-height-from-point
In the obtuse triangle $A B C, \angle B=23^{\circ},|A B|=20$ in., and $|B C|=30$ in.. The length of the height from the point $B$ is:Mathematicshttps://mathsgee.com/29908/obtuse-triangle-angle-circ-20-the-length-height-from-pointWed, 16 Jun 2021 08:25:35 +0000If $n$ is a natural number, the number $3^{4 n+4}-4^{3 n+3}$ is divisible by:
https://mathsgee.com/29901/if-n-is-natural-number-the-number-3-4-4-4-3-n-3-is-divisible-by
If $n$ is a natural number, the number $3^{4 n+4}-4^{3 n+3}$ is divisible by:Mathematicshttps://mathsgee.com/29901/if-n-is-natural-number-the-number-3-4-4-4-3-n-3-is-divisible-byWed, 16 Jun 2021 08:19:19 +0000Number $3^{32}-1$ has exactly two divisors greater than 75 and less than $85 .$ What is their product?
https://mathsgee.com/29900/number-exactly-divisors-greater-than-less-than-their-product
Number $3^{32}-1$ has exactly two divisors greater than 75 and less than $85 .$ What is their product?Mathematicshttps://mathsgee.com/29900/number-exactly-divisors-greater-than-less-than-their-productWed, 16 Jun 2021 08:18:33 +0000One of the solutions of equation $z^{3}=w$ is $z_{1}=-5 \sqrt{3}+5 i$. What is one of other two solutions if $w$ is a complex number?
https://mathsgee.com/29895/solutions-equation-sqrt-what-other-solutions-complex-number
One of the solutions of equation $z^{3}=w$ is $z_{1}=-5 \sqrt{3}+5 i$. What is one of other two solutions if $w$ is a complex number?Mathematicshttps://mathsgee.com/29895/solutions-equation-sqrt-what-other-solutions-complex-numberWed, 16 Jun 2021 08:14:41 +0000What is the relationship between $a$ and $\sqrt{a}$?
https://mathsgee.com/29853/what-is-the-relationship-between-a-and-sqrt-a
What is the relationship between $a$ and $\sqrt{a}$?Mathematicshttps://mathsgee.com/29853/what-is-the-relationship-between-a-and-sqrt-aMon, 14 Jun 2021 13:56:08 +0000When is the expression $\sqrt{a}$ real?
https://mathsgee.com/29851/when-is-the-expression-sqrt-a-real
When is the expression $\sqrt{a}$ real?Mathematicshttps://mathsgee.com/29851/when-is-the-expression-sqrt-a-realMon, 14 Jun 2021 13:54:27 +0000Solve for $x$ in $3 x^{-\frac{2}{3}}=27$
https://mathsgee.com/29847/solve-for-x-in-3-x-frac-2-3-27
Solve for $x$ in $3 x^{-\frac{2}{3}}=27$Mathematicshttps://mathsgee.com/29847/solve-for-x-in-3-x-frac-2-3-27Mon, 14 Jun 2021 13:50:35 +0000Solve for $x$: $3^{2 x}+6.3^{x}-27=0$
https://mathsgee.com/29835/solve-for-x-3-2-x-6-3-x-27-0
Solve for $x$: $3^{2 x}+6.3^{x}-27=0$Mathematicshttps://mathsgee.com/29835/solve-for-x-3-2-x-6-3-x-27-0Mon, 14 Jun 2021 13:10:38 +0000Solve for $x$ : $\quad 2^{x}=\frac{1}{16}$
https://mathsgee.com/29823/solve-for-x-quad-2-x-frac-1-16
Solve for $x$ : $\quad 2^{x}=\dfrac{1}{16}$Mathematicshttps://mathsgee.com/29823/solve-for-x-quad-2-x-frac-1-16Mon, 14 Jun 2021 12:52:46 +0000Simplify $\frac{\sqrt{4 x^{9}}-\sqrt{16 x^{9}}}{\sqrt{x}}$ and leave your answer in simplest surd form
https://mathsgee.com/29814/simplify-frac-sqrt-sqrt-sqrt-leave-your-answer-simplest-surd
Simplify $\dfrac{\sqrt{4 x^{9}}-\sqrt{16 x^{9}}}{\sqrt{x}}$ and leave your answer in simplest surd formMathematicshttps://mathsgee.com/29814/simplify-frac-sqrt-sqrt-sqrt-leave-your-answer-simplest-surdMon, 14 Jun 2021 12:43:13 +0000Simplify $\frac{\sqrt{48}-\sqrt{3}}{\sqrt{27}}$ and leave your answer in simplest surd form
https://mathsgee.com/29812/simplify-sqrt-sqrt-sqrt-leave-your-answer-simplest-surd-form
Simplify $\dfrac{\sqrt{48}-\sqrt{3}}{\sqrt{27}}$ and leave your answer in simplest surd formMathematicshttps://mathsgee.com/29812/simplify-sqrt-sqrt-sqrt-leave-your-answer-simplest-surd-formMon, 14 Jun 2021 12:40:51 +0000Simplify $(2+3 \sqrt{2})^{2}$ and leave your answer in simplest surd form
https://mathsgee.com/29810/simplify-2-sqrt-and-leave-your-answer-in-simplest-surd-form
Simplify $(2+3 \sqrt{2})^{2}$ and leave your answer in simplest surd formMathematicshttps://mathsgee.com/29810/simplify-2-sqrt-and-leave-your-answer-in-simplest-surd-formMon, 14 Jun 2021 12:38:59 +0000Simplify $\sqrt{12}+4 \sqrt{75}$ and leave your answer in simplest surd form
https://mathsgee.com/29808/simplify-sqrt-sqrt-and-leave-your-answer-simplest-surd-form
Simplify $\sqrt{12}+4 \sqrt{75}$ and leave your answer in simplest surd formMathematicshttps://mathsgee.com/29808/simplify-sqrt-sqrt-and-leave-your-answer-simplest-surd-formMon, 14 Jun 2021 12:36:58 +0000Write in simplest surd form and simplify without using a calculator:
https://mathsgee.com/29806/write-simplest-surd-form-simplify-without-using-calculator
Write in simplest surd form and simplify without using a calculator:<br />
<br />
(1) $\quad \sqrt{18}=$<br />
<br />
(2) $\quad \sqrt{8}=$<br />
<br />
(3) $\quad \sqrt[3]{54}=$Mathematicshttps://mathsgee.com/29806/write-simplest-surd-form-simplify-without-using-calculatorMon, 14 Jun 2021 12:35:43 +0000Simplify the surd $\sqrt[3]{5}+5 \sqrt[3]{5}-2 \sqrt[3]{5}$
https://mathsgee.com/29804/simplify-the-surd-sqrt-3-5-5-sqrt-3-5-2-sqrt-3-5
Simplify the surd $\sqrt[3]{5}+5 \sqrt[3]{5}-2 \sqrt[3]{5}$Mathematicshttps://mathsgee.com/29804/simplify-the-surd-sqrt-3-5-5-sqrt-3-5-2-sqrt-3-5Mon, 14 Jun 2021 12:32:53 +0000Simplify the surd $\sqrt{7}+2 \sqrt{7}-6 \sqrt{7}$
https://mathsgee.com/29802/simplify-the-surd-sqrt-7-2-sqrt-7-6-sqrt-7
Simplify the surd $\sqrt{7}+2 \sqrt{7}-6 \sqrt{7}$Mathematicshttps://mathsgee.com/29802/simplify-the-surd-sqrt-7-2-sqrt-7-6-sqrt-7Mon, 14 Jun 2021 12:31:24 +0000Simplify the surd $5 \sqrt{3}+2 \sqrt{3}-3 \sqrt{3}$
https://mathsgee.com/29800/simplify-the-surd-5-sqrt-3-2-sqrt-3-3-sqrt-3
Simplify the surd $5 \sqrt{3}+2 \sqrt{3}-3 \sqrt{3}$Mathematicshttps://mathsgee.com/29800/simplify-the-surd-5-sqrt-3-2-sqrt-3-3-sqrt-3Mon, 14 Jun 2021 12:30:22 +0000Express $9^{x-1}+3^{2 x}$ as a single power expression.
https://mathsgee.com/29780/express-9-x-1-3-2-x-as-a-single-power-expression
Express $9^{x-1}+3^{2 x}$ as a single power expression.Mathematicshttps://mathsgee.com/29780/express-9-x-1-3-2-x-as-a-single-power-expressionMon, 14 Jun 2021 12:04:31 +0000Simplify: $\dfrac{4^{n+2} \cdot 9^{n-1}}{72^{n} \cdot 2^{1-n}}$
https://mathsgee.com/29776/simplify-dfrac-4-n-2-cdot-9-n-1-72-n-cdot-2-1-n
Simplify: $\dfrac{4^{n+2} \cdot 9^{n-1}}{72^{n} \cdot 2^{1-n}}$Mathematicshttps://mathsgee.com/29776/simplify-dfrac-4-n-2-cdot-9-n-1-72-n-cdot-2-1-nMon, 14 Jun 2021 11:59:48 +0000Rewrite the $\dfrac{9^{4}}{27}$ with prime bases and hence simplify without the use of a calculator.
https://mathsgee.com/29774/rewrite-dfrac-prime-bases-hence-simplify-without-calculator
Rewrite the $\dfrac{9^{4}}{27}$ with prime bases and hence simplify without the use of a calculator.Mathematicshttps://mathsgee.com/29774/rewrite-dfrac-prime-bases-hence-simplify-without-calculatorMon, 14 Jun 2021 11:56:53 +0000Rewrite the $16\cdot 8^{-1}$ with prime bases and hence simplify without the use of a calculator.
https://mathsgee.com/29772/rewrite-with-prime-bases-hence-simplify-without-calculator
Rewrite the $16\cdot 8^{-1}$ with prime bases and hence simplify without the use of a calculator.Mathematicshttps://mathsgee.com/29772/rewrite-with-prime-bases-hence-simplify-without-calculatorMon, 14 Jun 2021 11:54:57 +0000If $\alpha$ and $\beta$ are the roots of the equation $x^{2}-x+1=0$, then $\alpha^{2009}+\beta^{2009}=$
https://mathsgee.com/29731/alpha-and-beta-are-roots-equation-then-alpha-2009-beta-2009
If $\alpha$ and $\beta$ are the roots of the equation $x^{2}-x+1=0$, then $\alpha^{2009}+\beta^{2009}=$<br />
<br />
1) $-1$<br />
2) 1<br />
3) 2<br />
4) $-2$Mathematicshttps://mathsgee.com/29731/alpha-and-beta-are-roots-equation-then-alpha-2009-beta-2009Sat, 12 Jun 2021 05:05:17 +0000If the roots of the equation $b x^{2}+c x+a=0$ be imaginary, then for all real values of $x$, the expression $3 b^{2} x^{2}+6 b c x+2 c^{2}$ is
https://mathsgee.com/29729/roots-equation-imaginary-then-real-values-x-the-expression
If the roots of the equation $b x^{2}+c x+a=0$ be imaginary, then for all real values of $x$, the expression $3 b^{2} x^{2}+6 b c x+2 c^{2}$ is <br />
<br />
1) greater than $4 a b$<br />
2) less than $4 a b$<br />
3) greater than $-4 a b$<br />
4) less than $-4 a b$Mathematicshttps://mathsgee.com/29729/roots-equation-imaginary-then-real-values-x-the-expressionSat, 12 Jun 2021 05:02:53 +0000The quadratic equations $x^{2}-6 x+a=0$ and $x^{2}-c x+6=0$ have one root in common. The other roots of the first and second equations are integers in the ratio $4: 3 .$ Then the common root is
https://mathsgee.com/29727/quadratic-equations-common-second-equations-integers-common
The quadratic equations $x^{2}-6 x+a=0$ and $x^{2}-c x+6=0$ have one root in common. The other roots of the first and second equations are integers in the ratio $4: 3 .$ Then the common root is<br />
<br />
1) 1<br />
2) 4<br />
3) 3<br />
4) 2Mathematicshttps://mathsgee.com/29727/quadratic-equations-common-second-equations-integers-commonSat, 12 Jun 2021 05:00:00 +0000If the difference between the roots of the equation $x^{2}+a x+1=0$ is less than $\sqrt{5}$, then the set possible values of a is
https://mathsgee.com/29723/difference-between-roots-equation-sqrt-then-possible-values
If the difference between the roots of the equation $x^{2}+a x+1=0$ is less than $\sqrt{5}$, then the set possible values of a is<br />
<br />
1) $(-3,3)$<br />
2) $(-3, \infty)$<br />
3) $(3, \infty)$<br />
4) $(-\infty,-3)$Mathematicshttps://mathsgee.com/29723/difference-between-roots-equation-sqrt-then-possible-valuesSat, 12 Jun 2021 04:56:24 +0000All the values of $m$ for which both roots of the equations $x^{2}-2 m x+m^{2}-1=0$ are greater than $-2$ but less than 4, lie in the interval
https://mathsgee.com/29719/values-which-both-roots-equations-greater-less-than-interval
All the values of $m$ for which both roots of the equations $x^{2}-2 m x+m^{2}-1=0$ are greater than $-2$ but less than 4, lie in the interval<br />
<br />
1) $-2<m<0$<br />
2) $m>3$<br />
3) $-1<m<3$<br />
4) $1<m<4$Mathematicshttps://mathsgee.com/29719/values-which-both-roots-equations-greater-less-than-intervalSat, 12 Jun 2021 04:52:10 +0000If the roots of the quadratic equation $x^{2}+p x+q=0$ are $\tan 30^{\circ}$ and $\tan 15^{\circ}$ respectively then the value of $2+q-p$ is
https://mathsgee.com/29717/roots-quadratic-equation-circ-circ-respectively-then-value
If the roots of the quadratic equation $x^{2}+p x+q=0$ are $\tan 30^{\circ}$ and $\tan 15^{\circ}$ respectively then the value of $2+q-p$ is <br />
<br />
1) 2<br />
2) 3<br />
3) 0<br />
4) 1Mathematicshttps://mathsgee.com/29717/roots-quadratic-equation-circ-circ-respectively-then-valueSat, 12 Jun 2021 04:50:20 +0000If the equation $a_{n} x^{n}+a_{n-1} x^{n-1}+\ldots .+a_{1} x=0, a_{1} \neq 0, n \geq 2$ has a positive root $x=\alpha$, then the equation $n a_{n} x^{n-1}+(n-1) a_{n-1} x^{n-2}+\ldots .+a_{1}=0$ has a positive roots, which is
https://mathsgee.com/29715/equation-positive-alpha-equation-ldots-positive-roots-which
If the equation $a_{n} x^{n}+a_{n-1} x^{n-1}+\ldots .+a_{1} x=0, a_{1} \neq 0, n \geq 2$ has a positive root $x=\alpha$, then the equation $n a_{n} x^{n-1}+(n-1) a_{n-1} x^{n-2}+\ldots .+a_{1}=0$ has a positive roots, which is<br />
<br />
1) greater than $\alpha$<br />
2) smaller than $\alpha$<br />
3) greater than or equal to $\alpha$<br />
4) equal to $\alpha$Mathematicshttps://mathsgee.com/29715/equation-positive-alpha-equation-ldots-positive-roots-whichSat, 12 Jun 2021 04:48:33 +0000If both the roots of the quadratic equation $x^{2}-2 k x+k^{2}+k-5=0$ are less than 5, then $k$ lies in the interval
https://mathsgee.com/29713/both-roots-quadratic-equation-less-than-then-lies-interval
If both the roots of the quadratic equation $x^{2}-2 k x+k^{2}+k-5=0$ are less than 5, then $k$ lies in the interval<br />
<br />
1) $(5,6]$<br />
2) $(6, \infty)$<br />
3) $(-\infty, 4)$<br />
4) $[4,5]$Mathematicshttps://mathsgee.com/29713/both-roots-quadratic-equation-less-than-then-lies-intervalSat, 12 Jun 2021 04:46:10 +0000