Question 22
If $p$ and $q$ are primes and $x^2-px+q=0$ has distinct positive integral roots, then which of the following statements are true?
I. The difference of the roots is odd.
II. At least one root is prime.
III. $p^2-q$ is prime.
IV. $p+q$ is prime.
I. The difference of the roots is odd.
II. At least one root is prime.
III. $p^2-q$ is prime.
IV. $p+q$ is prime.