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Chapter 1: Q 2. (page 49)

Use the Square Root Method to solve the equation ${(x - 2)}^{2} = 9$

Short Answer

Expert verified

Values of $x$ are $- 1, 5$ .

Step by step solution

01

Step 1. Given information

An equation is ${(x - 2)}^{2} = 9$ .

02

Step 2. Solve the given equation.

Consider the equation $(x - 2)^{2} = 9$

The right hand side is already a perfect square, so we will take square root of both sides

role="math" localid="1646119886036" $\begin{array}{rcl} \sqrt{(x - 2)^{2}} & = & \sqrt{9} \\ x - 2 & = & \pm 3 \\ x - 2 & = & - 3, x - 2 = 3 \\ x & = & - 1, 5 \end{array}$

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Most popular questions from this chapter

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

$5 x^{2} = 13 x + 6$

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

$\frac{2 x + 1}{3} + 16 = 3 x$

True or FalseThe slope of the line $2 y = 3 x + 5$ is $3 .$

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

$(4, 2); (3, 4)$

Determine the coordinates of the points shown. Tell in which quadrant each point lies. Assume the coordinates are integers.

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