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

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Aicharya · Accepted Answer

Equation $x^2-2 m x+m^2-1=0$ $ \begin{aligned} & (x-m)^2-1=0 \ & (x-m+1)(x-m-1)=0 \ & x=m-1, m+1 \ & -2 -1$ and $m < 3$ $-1 < m < 3$

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…