The roots of $x^2-5x+3=0$ are $\alpha,\beta$. Form an equation in $y$ whose roots are \(\alpha

Question

The roots of $x^2-5x+3=0$ are $\alpha,\beta$. Form an equation in $y$ whose roots are $\alpha+2,\beta+2$.

Accepted Answer

$y^2-9y+17=0$

Quadratic Functions, Equations and Inequalities