The roots of $$x^2-sx+12=0$$ are positive and differ by $1$. Find $s$. Form a quadratic equation

Question

The roots of $$x^2-sx+12=0$$ are positive and differ by $1$. Find $s$. Form a quadratic equation whose roots are the squares of the original roots.

Accepted Answer

(a) $s=7$; (b) $y^2-25y+144=0$

Quadratic Functions, Equations and Inequalities