" 2.If "alpha" is a root of this equation,"2" coss "a" is a racticititie amumicor "

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

If alpha , beta be the roots of the equation x^2-px+q=0 ,form the quadratic equation whose roots are 2alpha-beta , 2beta-alpha

The number of pairs (a, b) of real numbers, such that whenever alpha is a root of the equation x^2 +ax + b = 0, alpha^2 - 2 is also a root of this equation, 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 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 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 ax^2 + bx + c = 0 then the equation whose roots are 2alpha + 3beta and 3alpha + 2beta is

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

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

If alpha and beta are the roots of the equation x^2 - 10x + 5 = 0 , then equation whose roots are (alpha+beta)^2 and (alpha-beta)^2 is