Let `alpha` and `beta` be the roots of the equation `x^2+(2-costheta)x-(1+costheta)=0`, then

Let alpha, and beta are the roots of the equation x^(2)+x +1 =0 then

Let alpha, and beta are the roots of the equation x^(2)+x +1 =0 then

Let alpha and beta be two real roots of the equation 5 cot ^(2) x- 3 cot x-1=0, then cot ^(2)(alpha + beta)=

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

Let alpha and beta be the roots of the equation x^(2)+ax+1=0, a ne0 . Then the equation whose roots are -(alpha+(1)/(beta)) and -((1)/(alpha)+beta) is

Let alpha and beta be the roots of the equation x^(2)+ax+1=0, a ne0 . Then the equation whose roots are -(alpha+(1)/(beta)) and -((1)/(alpha)+beta) is

Let alpha, beta are the roots of the equation x^(2)+x+1=0 , then alpha^3-beta^3

Let alpha and beta be the roots of the equation x^(2)+x+1=0 . The equation whose roots are alpha^(19) and beta^(7) is