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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 547RE (page 854)

In the following exercises, solve $\sqrt[3]{2 x^{2} + 9 x - 18} = \sqrt[3]{x^{2} + 3 x - 2}$

Short Answer

Expert verified

Solutions are $x = - 8 o r x = 2$

Step by step solution

01

Given information

Solve $\sqrt[3]{2 x^{2} + 9 x - 18} = \sqrt[3]{x^{2} + 3 x - 2}$

02

Solution

We have

$\sqrt[3]{2 x^{2} + 9 x - 18} = \sqrt[3]{x^{2} + 3 x - 2} 2 x^{2} + 9 x - 18 = x^{2} + 3 x - 2 x^{2} + 6 x - 16 = 0 (x + 8) (x - 2) = 0 x = - 8 o r x = 2$

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In the following exercises, write with a rational exponent.

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