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

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)).

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)).

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^(3) -2x^(2) -x +2 =0 are

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

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

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.

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.

The values of 'a' for which the roots of the equation x^(2) + x + a = 0 are real and exceed 'a' are