## College Algebra 7th Edition

Published by Brooks Cole

# Chapter 1, Equations and Graphs - Section 1.9 - Solving Equations and Inequalities Graphically - 1.9 Exercises - Page 158: 21

#### Answer

The solution is $x=\left\{1.62\right\}$.

#### Work Step by Step

To solve the given equation graphically, perform the following steps: (1) Graph the function $y=x-\sqrt{x+1}$. Refer to the image below for the graph. (2) Identify the point/s where the graph crosses/touches the x-axis. These are the points where the value of $x-\sqrt{x+1}$ is equal zero. The x-coordinates of these points are the solutions to the given equation. Notice that the graph crosses the x-axis at $(1.618, 0)$. This means that the solution to the given equation is $\approx 1.62$. Thus, the solution is $x=\left\{1.62\right\}$.

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