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Expert-verified Found in: Page 29 ### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465 # In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility. $\sqrt{x+1}=4$

The required solution is $x=15$. The graph of the solution is given below: See the step by step solution

## Step 1. Given information.

We have:

$\sqrt{x+1}=4$

## Step 2. Solve the equation algebraically.

The equation is $\sqrt{x+1}=4$.

Square on both sides:

${\left(\sqrt{x+1}\right)}^{2}={\left(4\right)}^{2}\phantom{\rule{0ex}{0ex}}x+1=16\phantom{\rule{0ex}{0ex}}x=16-1\phantom{\rule{0ex}{0ex}}x=15$

## Step 3. Verify the solution using a graphing utility.

The solution of the equation is $x=15$.

Draw the graph of the equation $\sqrt{x+1}=4$ using the graphing utility:  ### Want to see more solutions like these? 