To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW Let `alpha` and `beta` be the roots of equation `x^2-6x-2""=""0` . If `a_n=alpha. given the roots of equation 3x^2 - 6x +1 =0 are \alpha , \beta , find equation with integer coefficients whose roots are \alpha*\beta^2 and \alpha^2 *\beta. Please guys help me out, I need to understand how to do those (. If alpha and beta are the root of ax^2-bx+c=0, then can you prove that the root alpha upon beta+root beta upon alpha- root beta upon alpha=0? If alpha and beta are the roots of ax2-bx+c=0, how can I calculate alpha + beta?. If #alpha# and #beta# are the roots of the equation #x^2 - x +1 = 0#, then #alpha^2009 + beta^2009# is?. If ` alpha,beta` are roots of equation `x^2-px+q=0`, find the equation whose roots are `(alpha^2-beta^2)(alpha^3-beta^3) and alpha^3 beta^2 +alpha^2 beta^3.` CLASS 12,CLASS 11,JEE MAIN,IIT JEE . To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW If `alpha, beta` are the roots of` x^2-2x+4=0`then `alpha^n+beta^n` is..