### Home > CCA2 > Chapter 4 > Lesson 4.2.1 > Problem4-68

4-68.

Solve each equation below. Remember to check for extraneous solutions. Homework Help ✎

1. $(y−3)^2=2y−10$

Expand $(y−3)^2$.

Set the equation equal to $0$.

Factor and use the Zero Product Property or use the Quadratic Formula to solve.

No real solutions.

1. $| y - 3 | = 2 y - 10$

This equation has an absolute value, so you will need to write two equations to solve it.

$y−3=2y−10\ \text{or}\ y−3=−(2y−10)$

$y=7\text{ or }y=\frac{13}{3}$

Check both solutions in the original equation.
Do they both solve the equation?