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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 539RE (page 854)

In the following exercises, solve $\sqrt{5 x + 1} = - 3$

Short Answer

Expert verified

Solution is $x = \frac{8}{5}$

Step by step solution

01

Given information

Solve $\sqrt{5 x + 1} = - 3$

02

Solution

We have

$\begin{array}{rcl} \sqrt{5 x + 1} & = & - 3 \\ 5 x + 1 & = & {(- 3)}^{2} \\ 5 x + 1 & = & 9 \\ 5 x & = & 8 \\ x & = & \frac{8}{5} \end{array}$

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Most popular questions from this chapter

Use the Quotient Property to simplify square roots.

(a) $\sqrt{\frac{75 r^{9}}{s^{8}}}$

(b) $\sqrt[3]{\frac{54 a^{8}}{b^{3}}}$

(c) $\sqrt[4]{\frac{64 c^{5}}{d^{4}}}$

In the following exercises, solve.
$\sqrt{5 x + 1} = - 3$

Simplify:

a. ${(81 n^{\frac{2}{5}})}^{\frac{3}{2}}$ b. ${(a^{\frac{3}{2}} b^{\frac{1}{2}})}^{\frac{4}{3}}$

Explain why $7 + \sqrt{9}$ is not equal to $\sqrt{7 + 9}$ .

Simplify: $\sqrt{\frac{48 x^{5}}{100}} .$

See all solutions

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