for what real values of a do the roots of the equation x^2-2x-(a^2-1)=0 lie between the roots of the equation x^2-2(a+1)+a(a-1)

we are given a quadretic equation ,

 x^2 - 2x - (a^2-1) = 0, the roots of this is lie btween the roots of 

x^2 - 2(a+1) + a(a-1) =0, so we have 'a' to find.

 

first we take, x^2 - 2x - (a^2-1) = 0

 

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