If `alpha` and `2alpha^2` are roots of quadratic equation `(x^2 - ax + b) = 0`, then `(b+ 4b^2 + 6ab)` is equal to

If alpha and 2 alpha^(2) are roots of quadratic equation (x^(2)-ax+b)=0, then (b+4b^(2)+6ab) is equal to

If alpha " and " beta are the roots of the quadratic equation x^2 -5x +6 =0 then find alpha^2 + beta^2

If alpha,beta are the roots of the quadratic equation ax^2+bx+c=0 and 3b^2=16ac then

If alpha, beta are the roots of the quadratic equation ax^(2)+bx+c=0 and 3b^(2)=16 ac then

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

If alpha and beta are the roots of the equation ax^2+bx+c=0 where alpha 0 then (a alpha +b)(a beta +b) is equal to

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 :