यदि ` alpha, beta ` बहुपद ` x ^ 2 - 8 x + k ` के मूल इस प्रकार है कि ` alpha ^ 2 + beta ^ 2 = 40 ` तब k =

If alpha, beta are the roots of a x^2 + bx + c = 0 and k in R then the condition so that alpha < k < beta is :

If alpha and beta are the roots of the equation x^2 + x-1=0 , then what is the equation whose roots are alpha^5 and beta^5 ? यदि alpha तथा beta समीकरण x^2 + x-1=0 के मूल है, तो वह समीकरण क्या है जिसके मूल alpha^5 तथा beta^5 है?

If alpha amd beta are the roots of the equation 3x^(2) - 2x - 8 = 0 then alpha^(2) + alpha beta + beta^(2) = "_____" .

alpha , beta are the zeros of the quadratic polynomial p (x) = x^(2) - (k + 6) x + 2 ( 2 k - 1) . Find the value of k, if alpha + beta = (1)/(3) alpha beta

If alpha , beta , gamma are the roots of x^3 + 2x^2 + 3x +8=0 then ( alpha + beta ) ( beta + gamma) ( gamma + alpha ) =

If alpha , beta , gamma are the roots of x^3 + 2x^2 + 3x +8=0 then ( alpha + beta ) ( beta + gamma) ( gamma + alpha ) =

If alpha and beta are zeroes of the polynomial f(x) = x^(2) - x - k , such that alpha- beta = 9 . find k.

Suppose alpha , beta are roots of x^(2) - 2x + 4 = 0 If alpha^(4) + beta^(4) = k , then |k| is equal to ______