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

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 root3(-1) = -1 , -omega, -omega^(2) , then roots of the equation (x+1)^(3) + 64 =0 are

Let alpha, and beta are the roots of the equation x^(2)+x +1 =0 then

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 x^2+7x-1=0

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

The maximum number of real roots of the equation x^(2n) -1 = 0 , is