Consider `f(x)=x^2(alpha+beta)-x(alpha+4beta)+3beta-2alpha`, then identify the `(alpha,beta in R and alpha,beta!=0)` ,

If alpha , beta are the roots of x^2 +x+1=0 then alpha beta + beta alpha =

If the roots of x ^(4) -10 x ^(3) + 37 x ^(2) - 60 x + 36 =0 are alpha, alpha , beta, beta (alpha lt beta), then 2 alpha + 3 beta - 2 alpha beta=

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is a. x^(2)+alpha x- beta=0 b. x^(2)-[(alpha +beta)+alpha beta]x-alpha beta( alpha+beta)=0 c. x^(2)+[(alpha + beta)+alpha beta]x+alpha beta(alpha + beta)=0 d. x^(2)+[(alpha +beta)+alpha beta)]x -alpha beta(alpha +beta)=0

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is a. x^(2)+alpha x- beta=0 b. x^(2)-[(alpha +beta)+alpha beta]x-alpha beta( alpha+beta)=0 c. x^(2)+[(alpha + beta)+alpha beta]x+alpha beta(alpha + beta)=0 d. x^(2)+[(alpha +beta)+alpha beta)]x -alpha beta(alpha +beta)=0

If alpha,beta are the zeroes of f(x)=2x^2+6x-6 ,then a) alpha+beta+alpha beta=0 b) alpha+beta=alpha beta c) alpha+betagtalpha beta d) alpha+betaltalpha beta

IF alpha , beta are the roots of x^(2)-x+2=0 then alpha ^ 2 beta + alpha beta ^2 =

If (alpha,beta) ∈ R are two of an quadratic equations,then the equation will be given as x^2-(alpha+beta)x+alphabeta =0 If for a quadratic equation,the roots alpha,beta satisfy alpha^2+beta^2 =5, 3(alpha^5+beta^5)=11(alpha^3+beta^3) ,then the equations will be

If the roots of x^(4)-10x^(3)+37x^(2)-60x+36=0 are alpha,alpha,beta,beta,(alphaltbeta) , then 2 alpha+3 beta-2 alpha beta=

If alpha and beta are the roots of x^2-2x+3=0 then alpha^2beta+ beta^2 alpha =….

If alpha , beta are the roots of x^2 +x+1=0 then alpha // beta + beta // alpha =