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

If alpha and beta are roots of the equation x^2 – x-1 = 0 , then the equation where roots are alpha/beta and beta/alpha is:

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

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

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

If alpha and beta are the roots of the equation x^2 +x+1 = 0 , the equation whose roots are alpha^19 and beta^7 is

If alpha,beta are roots of the equation lx^(2) + mx + n = 0,then the equation whose roots are alpha^(3) beta and alpha beta^(3) ,is

If alpha and beta are the roots of the equation x^2+x+1=0 , then the equation whose roots are alpha^19 and beta^7 is

If alpha and beta are the roots of the equation x ^(2) + alpha x + beta = 0, then

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

If alpha, beta are the roots of the equation x^(2)+x+1=0 , then the equation whose roots are alpha^(22)" and "beta^(19) , is