The roots `alpha and beta` of the quadratic equation `px^(2) + qx + r = 0` are real and of opposite signs. The roots of `alpha(x-beta)^(2) + beta(x-alpha)^(2) = 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

The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are and of opposite sing. The roots of the equation alpha(x-beta)^(2)+beta(x-alpha)^(2)=0 are

The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are and of opposite sing. The roots of the equation alpha(x-beta)^(2)+beta(x-alpha)^(2)=0 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.

If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0 , then find the quadratic equation whose roots are (alpha-beta)^(2)and(alpha+beta)^(2) .

If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0 , then find the quadratic equation whose roots are (alpha-beta)^(2)and(alpha+beta)^(2) .

If alpha and beta are roots of the quadratic equation x ^(2) + 4x +3=0, then the equation whose roots are 2 alpha + beta and alpha + 2 beta is :

If alpha and beta are roots of the quadratic equation x ^(2) + 4x +3=0, then the equation whose roots are 2 alpha + beta and alpha + 2 beta is :