Algebra Practice Test 2025 - Free Algebra Practice Questions and Study Guide

Question: 1 / 400

What are the solutions to the equation x² - x - 6 = 0?

x = 3, -2

To solve the quadratic equation x² - x - 6 = 0, we can factor it. We are looking for two numbers that multiply to -6 (the constant term) and add up to -1 (the coefficient of the x term).

The numbers that satisfy this condition are 3 and -2. When we factor the equation, we can express it as (x - 3)(x + 2) = 0. Setting each factor equal to zero gives us the solutions:

1. x - 3 = 0 leads to x = 3

2. x + 2 = 0 leads to x = -2

Thus, the solutions to the equation x² - x - 6 = 0 are x = 3 and x = -2. This confirms that the correct choices are indeed 3 and -2, aligning with the first option provided.

This method effectively demonstrates how factoring can be utilized to find the roots of a quadratic equation, reinforcing the process of identifying factors based on multiplication and addition criteria.

Get further explanation with Examzify DeepDiveBeta

x = 2, -3

x = 6, -1

x = 1, -6

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