Algebra Practice Test

Remove ads, get exclusive features. Starting from $7.99

Question: 1 / 400

Solve the equation x² - 9 = 0 for x.

x = 2 or -2

x = 3 or -3

To solve the equation $ x^2 - 9 = 0 $, we need to isolate $ x $. The equation can be recognized as the difference of squares, which can be factored as follows:

x^2 - 9 = (x - 3)(x + 3) = 0

According to the zero product property, if the product of two factors is zero, at least one of the factors must be zero. Therefore, we set each factor equal to zero:

1. $ x - 3 = 0 $

2. $ x + 3 = 0 $

Solving these gives:

1. From $ x - 3 = 0 $, we find $ x = 3 $.

2. From $ x + 3 = 0 $, we find $ x = -3 $.

Thus, the solutions to the equation $ x^2 - 9 = 0 $ are $ x = 3 $ and $ x = -3 $. This is why the correct response includes both values, confirming that the solutions are $ x = 3 $ or $ x = -3$.

Get further explanation with Examzify DeepDiveBeta

x = 0

x = 9

Next Question

Report this question

Download Algebra Practice Test PDF Study Guide

Algebra Practice Test

Get the latest from Examzify