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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 10: Q 10.6 (page 1158)

Solve $3 z^{2} = 108$ .

Short Answer

Expert verified

The solutions are $z = 6, z = - 6$ .

Step by step solution

01

Given Information.

The Given equation is $3 z^{2} = 108$ .

02

Isolate the quadratic term and makes its coefficient one.

$z^{2} = \frac{108}{3} z^{2} = 36$

03

Use the square root property.

$z = 卤 \sqrt{36}$

04

Simplify the radical.

Factor the radicand.

$z = 卤 \sqrt{6 脳 6} z = 卤 6$

Rewrite to show two solutions.

$z = 6, z = - 6$ .

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