If `f(x) = 0` has a repeated root `alpha`, then another equation having `alpha` as root is

If the equation, x^2+3x+6=0 has roots alpha, beta , then find the equation having roots alpha+beta, alpha-beta is.

Statement-1: If f(x) = 1 + x + (x^(2))/(2!) + (x^(3))/(3!) + (x^(4))/(4!) , then the equation f(x) = 0 has two pairs of repeated roots. Statement-2 Polynomial equation P(x) = 0 has repeated root alpha , if P(alpha) = 0 and P'(alpha) = f0

If the equation x^(2)+2x+5=0 has two roots alpha and beta then the equation whose roots are alpha+(1)/(alpha) and beta+(1)/(beta) is

If alpha is a root of this equation,2cos alpha is a root of equation

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

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

The equation x^(5)-5x^(3)+5x^(2)-1=0 has three equal roots.If alpha,beta are the other two roots of this equation then alpha+beta+alpha beta=

If alpha,beta equations are the roots of x^(2)+px+q=0, then Make the equation whose roots have the roots of the given equation Less than h

If alpha,beta are the roots of the equation ax^(2)+bx+c=0 such that beta