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For what real values of a do the roots o...

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)x+a(a-1)=0.`

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Knowledge Check

  • The roots of the quadratic equation x^(2)+2x+1=0 are:

    A
    Real and distinct
    B
    Real and equal
    C
    Distinct
    D
    Not real/imaginary

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