If `alpha and beta` are the roots of the equation `2x^(2)+2(a+b)x +a^(2)+b^(2)=0`,
then find the equation whose roots are `(alpha+beta)^(2) and (alpha-beta)^(2)`.

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

If alpha and beta are the roots of the equation ax^(2) + bx + c = 0, (c ne 0) , then the equation whose roots are (1)/(a alpha +b) and (1)/(a beta + b) is

If alpha and beta are the roots of equation x^(2)-4x+13=0 , then find the quadratic equation whose roots are alpha^(4)-4 alpha^(3)+13 alpha^(2)+2 and (beta^(3)-4 beta^(2)+13 beta+1)/(4)

If alpha and beta are the roots of the equation x ^(2) + 3x - 4 = 0 , then (1)/(alpha ) + (1)/(beta) is equal to

If alpha and alpha^(2) are the roots of the equation x^(2) - 6x + c = 0 , then the positive value of c is

If alpha,beta are the roots of the equation x^(2)+x+1=0 , then the equation whose roots are alpha^(22)andbeta^(19) , is a) x^(2)-x+1=0 b) x^(2)+x+1=0 c) x^(2)+x-1=0 d) x^(2)-x-1=0

If alpha and beta are the roots of x^(2)-2x +4=0 then alpha^(n) + beta^(n) is equal to