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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 10: Q 216. (page 1235)

Solve quadratic equation using the square root property: $n^{2} - 80 = 0$

Short Answer

Expert verified

The required result is $n = 4 \sqrt{5} o r - 4 \sqrt{5}$ .

Step by step solution

01

Given information

The given expression is $n^{2} - 80 = 0$ . $n^{2} - 80 = 0$

02

Simplifying the equation

Add 80 on both sides of the equation:

$n^{2} - 80 + 80 = 0 + 80$

$n^{2} = 80$

03

Square Root Property

If $x^{2} = k a n d k \geq 0$ then, $x = \sqrt{k} o r - \sqrt{k}$

$80 \geq 0$

$n = \sqrt{80} o r - \sqrt{80}$

$n = 4 \sqrt{5} o r - 4 \sqrt{5}$

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Most popular questions from this chapter

Solve $5 r^{2} - 2 = 34$

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Solve $16 n^{2} + 40 n + 25 = 4$ .

Solve the quadratic equation using square root property.

$(y - 4)^{2} = 64$

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