Fun with inequalities-1

Algebra Level 4

For what real a a , do the roots of the equation x22xa2+1=0 { x }^{ 2 }-2x-{ a }^{ 2 }+1=0 lie between the roots of the equation x22(a+1)x+a(a1)=0 { x }^{ 2 }-2(a+1)x+a(a-1)=0 ?

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