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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 9: Q. 55 (page 870)

Solve quadratic equation ${(p - \frac{1}{3})}^{2} = \frac{7}{9}$ using square root property

Short Answer

Expert verified

The values of $p$ arelocalid="1645451857478" $\frac{1 + \sqrt{7}}{3}$ andlocalid="1645451870231" $\frac{1 - \sqrt{7}}{3}$

Step by step solution

01

Step 1. Given information

The quadratic equation ${(p - \frac{1}{3})}^{2} = \frac{7}{9}$

02

Step 2. Use square root property

$鈬� p - \frac{1}{3} = 卤 \frac{\sqrt{7}}{3}$

$鈬� p = \frac{1}{3} 卤 \frac{\sqrt{7}}{3}$

$鈬� p = \frac{1 + \sqrt{7}}{3}$ and $p = \frac{1 - \sqrt{7}}{3}$

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Most popular questions from this chapter

Solve :- ${(y - 4)}^{2} + 8 (y - 4) + 15 = 0$

In the following exercises, solve by using the Quadratic Formula.

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In the following exercises, solve by using the Quadratic Formula.
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