### Home > CCA > Chapter 9 > Lesson 9.1.3 > Problem9-27

9-27.
1. Solve the following quadratic equations by factoring and using the Zero Product Property. Then check your solutions. Homework Help ✎

1. x2 − 10x + 25 = 0

2. 0 = 3x2 + 17x − 6

3. 3x2 − 2x = 5

4. 16x2 − 9 = 0

Use a generic rectangle and a diamond problem to help you factor the equation.

x = 5

See part (a).

Rewrite the equation so that it is equal to 0.

$\textit{x}=\frac{5}{3},\ \textit{x}=-1$

You should notice that this is a difference of squares.