If the quadratic equation `x^2-3x+1=0` has roots `alpha` and `beta` then quadratic equation having both common with the quadratic equation can have the roots

The quadratic equation whose roots are alpha and beta 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 the roots of a quadratic equation are -1 and 3, then the quadratic equation is

If the roots of a quadratic equation are -1 and 3, then the quadratic equation is

If alpha and beta are roots of quadratic equation, and alpha=-5 and beta=9 , then form the quadratic equation.

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&beta are the roots of the quadratic equation ax^2 + bx + c = 0 , then the quadratic equation ax^2-bx(x-1)+c(x-1)^2 =0 has roots

. Determine the value of for which the quadratic equation 2x2+3x+k=0 have both roots real.