If `x^2+p x-444p=0` has integral roots where `p` is prime number, then find the value `(s)ofpdot`

sqrtp (where p is a prime number) is

If x^2+px+25=0 , has equal roots, then the value of p is

If alpha and beta are roots of the equation x^2-8x+p=0 , then α^2+β^2=40 , find the value of p .

Find p if x^(2) – px + p = 0 has equal roots

If the roots of the equation x^3+P x^2+Q x-19=0 are each one more that the roots of the equation x^3-A x^2+B x-C=0,w h e r eA ,B ,C ,P ,a n dQ are constants, then find the value of A+B+Cdot

If alpha,beta are the roots of x^2-p x+q=0a n dalpha^(prime),beta' are the roots of x^2-p^(prime)x+q^(prime)=0, then the value of (alpha-alpha^(prime))^2+(beta-alpha^(prime))^2+(alpha-beta^(prime))^2+(beta-beta^(prime))^2 is a. 2{p^2-2q+p^('2)-2q^(prime)-p p '} b. 2{p^2-2q+p^('2)-2q^(prime)-q q '} c. 2{p^2-2q-p^('2)-2q^(prime)-p p '} d. 2{p^2-2q-p^('2)-2q^(prime)-q q '}

If k be an integer and p is a prime such that the quadratic equation x^(2)+k x+p=0 has two distinct positive integer solutions find the value of -(k+p) .

The quadratic equation x^2+m x+n=0 has roots which are twice those of x^2+p x+m=0a dm ,na n dp!=0. The n the value of n//p is _____.

If -4 is a root of the equation x^(2)+px-4=0 and if the equation x^(2)+px+q=0 are equal roots, find the values of p and q.

If p(q-r)x^2+q(r-p)x+r(p-q)=0 has equal roots, then prove that 2/q=1/p+1/rdot