If `x^3+3x^2-9x+c` is the form `(x-alpha)^2(x - beta)`, then the positive value of c is .........

If 2x + 3 is a factor of 2x^(3) - x - b + 9x^(2) then the value of b is ……………

If the roots of x^(4) - 6x^(3) +13x^2-12x + 4 = 0 are alpha, alpha , beta , beta then the value of alpha, beta are

The minimum value of x^3-6x^2+9x+1 is

alpha and beta are the roots of x^2 +2x +c=0 . IF alpha ^3 + beta ^3 =4, then the value of C is

If alpha and beta are the roots of x^2-2x + 3 = 0 the value of alpha^3 + beta^3 = ......

If alpha and beta are the roots of x^2-2x + 3 = 0 then alpha^2 + beta^2 = ..........

If (x + 2)(x + 3b) = c has roots alpha,beta , then the roots of (x + alpha)(x+beta) + c = 0 are

Let alpha,beta be the roots of the equation x^(2)-|a|x-|b|=0 such that |alpha|lt |beta| if |a|lt beta-1 then the positive root of log_|alpha|[(x^(2))/(beta^(2))]-1=0 is