In a quadratic equation `ax^2 + bx+c= 0` if 'a' and 'c' are of opposite signs and 'b' is real, then roots of the equation are

If the roots alpha and beta of the quadratic equation ax^2+bx+c =0 are real and of opposite sign.then show that roots of the equation alpha(x-beta)^2+beta(x-alpha)^2 =0 are also real and of opposite sign.

If the roots alpha and beta (alpha+beta ne 0) of the quadratic equation ax^(2)+bx+c=0 are real and of opposite sign. Then show that roots of the equation alpha (x-beta)^(2)+beta(x-alpha)^(2)=0 are also real and of opposite sign.

The roots of a quadratic equation ax^2- bx + c = 0, a ne 0 are

The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are real and of opposite sign.The roots of the equation alpha(x-beta)^(2)+beta(x-alpha)^(2)=0 are a.positive b. negative c.real and opposite sign d.imaginary

IF the signs of a and c are opposite to that of b then both roots of the equation ax^2+bx+c=0 are-

The quadratic equation ax^(2)+bx+c=0 has real roots if:

The quadratic equation ax^(2)+bx+c=0 has real roots if:

The roots of a quadratic equation ax^(2) + bx + c = 0 "is"

A quadratic equation ax^(2) + bx + c = 0 has two distinct real roots, if….

If in a quadratic equation ax^2 + bx + c = 0 (a le 0) b^2 = 4ac , then the roots of the equation will be real and _________.