Question 1072645
Simplifying the quadratic equation from the description:
{{{x^2-2px=3x-3p}}}
{{{x^2-2px-3x+3p}}}
{{{x^2-(2p+3)x+3p=0}}}



The discriminant must be 0 for rational roots:
{{{(-1)^2*(2p+3)^2-4*3p=0}}}
{{{4p^2-12p+9-12p=0}}}
{{{4p^2-24p+9=0}}}
{{{(4p-3)^2=0}}}
{{{highlight(p=3/4)}}}