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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 295 (page 824)

In the following exercises, solve.
$\sqrt{6 v - 2} - 10 = 0$

Short Answer

Expert verified

The solution of the given equation is $v = 17$ .

Step by step solution

01

Step 1. Given information.

The given equation is:

$\sqrt{6 v - 2} - 10 = 0$

02

Step 2. Solve the equation.

The given equation can be written as:

$\sqrt{6 v - 2} = 10$

Take square on both sides.

$\begin{array}{rcl} (\sqrt{6 v - 2})^{2} & = & (10)^{2} \\ 6 v - 2 & = & 100 \\ 6 v & = & 100 + 2 \\ 6 v & = & 102 \end{array}$

Divide both sides by 6.

$\begin{array}{rcl} \frac{6 v}{6} & = & \frac{102}{6} \\ v & = & 17 \end{array}$

03

Step 3. Conclusion.

The solution of the given equation is $v = 17$ .

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Most popular questions from this chapter

Use the Quotient Property to simplify square roots.

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