If `alpha and beta` are the roots of the equation `x^2 + px -1/(2p^2) = 0`, where `p in R`. Then, the minimum value of `alpha^4+beta^4` is

If alpha and beta be the roots of the equation x^(2) + px - 1//(2p^(2)) = 0 , where p in R . Then the minimum value of alpha^(4) + beta^(4) is

If alpha and beta be the roots of the equation x^(2) + px - 1//(2p^(2)) = 0 , where p in R . Then the minimum value of alpha^(4) + beta^(4) is

IF alpha and beta be the roots of the equation x^2 +px -(1)/(2p ^(2))=0 where p in R , then the minimum value of alpha ^(4) + beta ^(4) =

If alpha and beta be the roots of the eqution x^(2) +px -1/ (2p^(2)) = 0 , where p in R . Then the minimum possible value of alpha^(2) + beta^(2) is

If alpha, and beta be t roots of the equation x^(2)+px-1/2p^(2)=0, where p in R. Then the minimum value of alpha^(4)+beta^(4) is 2sqrt(2) b.2-sqrt(2)c2d.2+sqrt(2)

If alpha and beta are the roots of the equation x^(2)-px +16=0 , such that alpha^(2)+beta^(2)=9 , then the value of p is

If alpha and beta are the roots of the equation x^(2)-px +16=0 , such that alpha^(2)+beta^(2)=9 , then the value of p is

If alpha and beta are the real roots of the equation x^(3)-px-4=0, p in R such that 2 alpha+beta=0 then the value of (2 alpha^(3)+beta^(3)) equals

If tan alpha and tan beta are the roots of the equation x^(2) +px + q = 0 , then the value of sin^(2) (alpha +beta) + p cos (alpha + beta) sin (alpha + beta) + q cos^(2) (alpha + beta) is