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.`

FInd the roots of the equation 2x^(2)-x+(1)/(8)=0

If the range of the values of a for which 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 is (p,q), then find the value of (q- (1)/(p)).

The roots of the equation x^(2) -1=0 are

For what real values of k both the roots of equation x^2+2(k-3)x+9=-0 lie between -6 and 1.

Set of values of 'a' for which both roots of the equation x^(2) - 2x - a^(2) = 0 lie between the roots of the equation x^(2) - 2x + a^(2) - 11a + 12 = 0 , is

The roots of the equation a(x^(2)+1)-(a^(2)+1)x=0 are

The roots of the equation x^(2/3)+x^(1/3)-2=0 are

The roots of the equation x^(2/3)+x^(1/3)-2=0 are