If `alpha,beta` are roots of the equation `x^(2)+ax+2=0` such that `alpha^(7)beta^(6)=64` then value of `a` is

If alpha and beta are the roots of the equation x^(2)-px +16=0 , such that alpha^(2)+beta^(2)=9 , then the value of p is

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

If alpha,beta are the roots of the equation x^(2)+x+1=0 , find the value of alpha^(3)-beta^(3) .

If alpha and beta are the roots of the equation 2x^(2) - 3x + 4 = 0 , then alpha^(2) + beta^(2) = ____

If alpha and beta are the roots of the equation x^(2)+alpha x+beta=0 such that alpha ne beta , then the number of integral values of x satisfying ||x-beta|-alpha|lt1 is

If alpha,beta are the roots of the equation ax^2 + bx +c=0 such that beta < alpha < 0 , then the quadratic equation whose roots are |alpha|,|beta| is given by

If alpha, beta are the roots of the equation x^(2)+alphax + beta = 0 such that alpha ne beta and ||x-beta|-alpha|| lt alpha , then

If alpha,beta are roots of the equation 3x^(2)+4x-5=0 , then (alpha)/(beta) and (beta)/(alpha) are roots of the equation

If alpha and beta are the root of the equation x^(2) - 4x + 5 = 0 , then alpha^(2) + beta^(2) = ________

Given that alpha and beta are the roots of the equation x^(2)=7x+4 , (i) show that alpha^(3)=53alpha+28 (ii) find the value of (alpha)/(beta)+(beta)/(alpha) .