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Q. 2

Expert-verified
Found in: Page 282

### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

# Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.Solve:${x}^{2}+3x=4$x

By solving ${x}^{2}+3x=4$, the value of $x$ is $x=-4,1$

See the step by step solution

## Step 1. Given

An equation ${x}^{2}+3x=4$

To solve the equation

## Step 2. Separate the b term

${x}^{2}+3x=4\phantom{\rule{0ex}{0ex}}{x}^{2}+3x-4=0\phantom{\rule{0ex}{0ex}}{x}^{2}+4x-x+4=0\phantom{\rule{0ex}{0ex}}\left(x+4\right)\left(x-1\right)=0$

## Step 3. Use Zero-Property

So, either $x+4=0\phantom{\rule{0ex}{0ex}}x=-4$

Or $x-1=0\phantom{\rule{0ex}{0ex}}x=1$

The value of $x=-4,1$