If `x^3+3x^2-9x+c` is of the form `(x-alpha)^2(x-beta)` then `c` is equal to

The set of values of c for which x^(3)-6x^(2)+9x-c is of the form (x-a)^(2)(x-b)(a,b is real) is given by

If x^(3)+3x^(2)-9x+c=0 have roots alpha,alpha and beta then possible value of alpha+beta is

the quadratic equation x^(2)-9x+3=0 has roots alpha and beta. If x^(2)-bx-c=0 has roots alpha^(2) and beta^(2) then (b,c) is

The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-bx-c=0 has roots alpha^(2)and beta^(2), then (b,c) is

The quadratic equation x^(2)-9x+3=0 has roots alpha and beta. If x^(2)-bx-c=0 has roots alpha^(2) and beta^(2), then (b,c) is (75,-9) b.(-75,9) c.(-87,4) d.(-87,9)

If alpha and beta are the roots of 2x^(2) - x - 2 = 0 , then (alpha^(3) + beta^(-3) + 2alpha^(-1) beta^(-1)) is equal to

If alpha beta gamma are roots of x^(3)+x^(2)-5x-1=0 then alpha + beta + gamma is equal to

If alpha, beta in C are the distinct roots of the equation x^(2)-x+1=0 , then alpha^(101)+beta^(107) is equal to