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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) $1<m<4$
in Mathematics by Gold Status (10,261 points) | 9 views

1 Answer

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Answer

(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 Gold Status (10,261 points)

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