If ordered pair `(alpha,beta)` where` alpha,beta in I` satisfy the equation `2x^2-3xy-2y^2=7` then value of `alpha+beta` is

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

The number of ordered pairs (alpha,beta) , where alpha,beta in(-pi,pi) satisfying cos(alpha-beta)=1 and cos(alpha+beta)=(1)/(e) is

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

The number of ordered pairs ( alpha, beta ) ,where alpha, beta in (-pi, pi) satisfying cos(alpha-beta) =1 "and" cos(alpha+beta) = (1)/(sqrt2) is :

The number of ordered pairs ( alpha, beta ) ,where alpha, beta in (-pi, pi) satisfying cos(alpha-beta) =1 "and" cos(alpha+beta) = (1)/(sqrt2) is :

If alpha and beta are the roots of the equation x^(2) -x+7=0 , then find the value of alpha^(2) + beta^(2) .

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