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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 28 (page 1165)

Solve the quadratic equation using square root property.
$n^{2} + 8 n + 16 = 27$

Short Answer

Expert verified

The solutions are $n = - 4 卤 3 \sqrt{3}$ .

Step by step solution

01

Given Information.

The Given equation is $n^{2} + 8 n + 16 = 27$ .

02

Factor the trinomial.

$n^{2} + 2 (4) n + (4)^{2} = 27 (n + 4)^{2} = 27$

03

Use square root property.

$n + 4 = 卤 \sqrt{27} n + 4 = 卤 3 \sqrt{3}$

Isolate the term.

$n = - 4 卤 3 \sqrt{3}$

Thus, the solutions are $n = - 4 卤 3 \sqrt{3}$ .

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