### Home > INT2 > Chapter 7 > Lesson 7.1.2 > Problem7-27

7-27.

Use the Zero Product Property or complete the square to solve the following quadratic equations. Then check your solutions.

1. $x^2 - 10x + 25 = 0$

Use an area model and a diamond problem to help you factor the equation.

$x = 5$

1. $0 = 3x^2 + 17x - 6$

See part (a).

1. $3x^2 - 2x = 5$

Rewrite the equation so that it is equal to $0$.

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

1. $16x^2 - 9 = 0$

You should notice that this is a difference of squares.