ASK - ANSWER - COMMENT - VOTE - CREATE

MathsGee is Zero-Rated (You do not need data to access) on: Telkom |Dimension Data | Rain | MWEB

0 like 0 dislike
18 views
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

1) $-2<m<0$
2) $m>3$
3) $-1<m<3$
4) $1<m<4$
| 18 views

0 like 0 dislike

(3)

Explanation

Equation $x^{2}-2 m x+m^{2}-1=0$

$(x-m)^{2}-1=0$

$(x-m+1)(x-m-1)=0$

$x=m-1, \mathrm{~m}+1$

$-2<m-1$ and $m+1<4$

$m>-1$ and $m<3$

$-1<m<3$

by Bronze Status (9,486 points)

0 like 0 dislike