If `alpha` and `beta` are the roots of the equation `x^2+px+(3p)/4=0` such that `|alpha-beta|=sqrt(10)` then p belongs to the set

If alpha,beta,gamma are the roots of the equation x^(3)+px^(2)+qx+r=0 such that alpha+beta=0 then

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,beta are the roots of the equation x^(2) + Px + P^(3) = 0, P ne 0 such that alpha =beta^(2) then the roots of the given equation are

If alpha,beta are the roots of the equation x^(2) + Px + P^(3) = 0, P ne 0 such that alpha =beta^(2) then the roots of the given equation are

If alpha and beta are roots of the equation qx^2+px+p=0 ,show that sqrt(alpha/beta)+sqrt(beta/alpha)+sqrt(p/q)=0

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

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