Find the value of `alpha` for which the equation `(alpha-12)x^(2)+2(alpha-12)x+2=0` hes equal roots.

Find the value of alpha for which the equation (alpha-12)x^(2)+2(alpha-12)x+2=0 has equal roots.

Find the value of alpha for which roots of equations are equal 4x ^(2) - 20 x + alpha = 0

If -1,2,alpha are the roots of the equation 2x^(3)+x^(2)-7x-6=0, then alpha is

Let 4x^(2)-4(alpha-2)x + alpha-2=0(alpha in R) be a quadratic equation. Find the values of alpha for which Both the roots are equal in magnitude but opposite in sign

Let 4x^(2)-4(alpha-2)x + alpha-2=0(alpha in R) be a quadratic equation. Find the values of alpha for which Both the roots are equal in magnitude but opposite in sign

if alpha and beta are the roots of the equation 2x^(2)-5x+3=0 then alpha^(2)beta+beta^(2)alpha is equal to

If alpha and beta are roots of the equation x^(2)+x+1=0 , then alpha^(2)+beta^(2) is equal to

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to