If `alpha and beta` are the roots of the equation `(log_2 x)^2 + 4(log_2 x) -1=0` then the value of `log_beta alpha+log_alpha beta` equal to

If alpha and beta are roots of equation (log_(3)x)^(2)-4(log_(3)x)+2=0 then The value of alpha beta is

If alpha and beta are roots of equation (log_(3)x)^(2)-4(log_(3)x)+2=0 then The value of alpha beta is

If alpha and beta are roots of equation (log_(3)x)^(2)-4(log_(3)x)+2=0 then The value of log_(alpha)beta+log_(beta)alpha is

If alpha and beta are roots of equation (log_(3)x)^(2)-4(log_(3)x)+2=0 then The value of log_(alpha)beta+log_(beta)alpha is

If alpha and beta are the roots of the equation x^2 + 2x +8=0 then the value of (alpha)/(beta) + (beta)/(alpha) is ………………….. .

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

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

If alpha and beta are solutions of the equation 4log_(3)^(2)x-4log_(3)x^(2)+1=0 then the value of |(sqrt(alpha beta)+1)/(sqrt(alpha beta)-1)| is

If alpha and beta are the roots of the equation x^2+4x + 1=0(alpha > beta) then find the value of 1/(alpha)^2 + 1/(beta)^2