Core stretch

The roots of a quadratic are $\dfrac43$ and $-\dfrac52$. Write an equation $ax^2+bx+c=0$ with integer coefficients and $a\ne1$.[3]

Question

Core stretch The roots of a quadratic are $\dfrac43$ and $-\dfrac52$. Write an equation $ax^2+bx+c=0$ with integer coefficients and $a\ne1$.

Accepted Answer

$6x^2+7x-20=0$.

Repeated root and equation construction