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

If the roots of the quadratic equation x^(2) - 3x - 304 = 0 are alpha and beta , then the quadratic equation with roots 3alpha and 3beta is

If alpha and beta are the roots of the quadratic equation x^2+4x+3=0 , then the equation whose roots are 2 alpha+ beta are alpha+2 beta is :

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 If the roots of a quadratic equation ax^(2)+ bx+ c=0 " are "alpha and beta, then the quadratic equation having roots alpha and beta is

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 :

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 :

If alpha&beta are the roots of the quadratic equation a x^2+b x+c=0 , then the quadratic equation, a x^2-b x(x-1)+c(x-1)^2=0 has roots: alpha/(1-alpha),beta/(1-beta) (b) alpha-1,beta-1 alpha/(alpha+1),beta/(beta+1) (d) (1-alpha)/alpha,(1-beta)/beta

If alpha , beta are the roots of the quadratic equation ax^(2) + bx + c = 0 , then the quadratic equation whose roots are alpha^(3) , beta^(3) is

If the equation 3x^(2) - 2x-3 = 0 has roots alpha , and beta then alpha.beta = "______" .