The roots of $x^2-5x+3=0$ are $\alpha$ and $\beta$. Find a quadratic equation, with leading co

Question

The roots of $x^2-5x+3=0$ are $\alpha$ and $\beta$. Find a quadratic equation, with leading coefficient $1$, whose roots are $\alpha+2$ and $\beta+2$. Do not solve the original equation.

Accepted Answer

$x^2-9x+17=0$.

Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities