Prime roots

Algebra Level 3

The equation $x^2-px+q=0$ has all.prime roots. If $p$ is odd then the minimum possible value of $(p+q)$ ?

1 solution

Suresh Jh
Feb 15, 2018

Let root of equation be $a,b$ then,

$a+b=p, ab=q$ , $p$ is odd means ,a=even and b= odd,

$(p+q)min =a+b+ab = 2+3+6 =11$