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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 9 (page 1165)

Solve the quadratic equation using square root property.
$x^{2} + 20 = 0$

Short Answer

Expert verified

The quadratic equation $x^{2} + 20 = 0$ has no real solutions.

Step by step solution

01

Given Information.

The Given equation is $x^{2} + 20 = 0$ .

02

Isolate the quadratic term.

$x^{2} = - 20$

03

Use the square root property.

$x = \pm \sqrt{- 20}$

The radicand is negative.

Therefore, $\sqrt{- 20}$ is not a real number.

There is no real solution.

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