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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 220 (page 1235)

Solve quadratic equation using the square root property: $t^{2} + 18 = 0$

Short Answer

Expert verified

The required result is roots are not defined .

Step by step solution

01

Given information

The given expression is $t^{2} + 18 = 0$

02

Simplifying the equation

Subtract 18 from both side of equation .

$t^{2} - 18 + 18 = 0 - 18 t^{2} = - 18$

03

Square root property

If $x^{2} = k$ and $k \geq 0$ then $x = \sqrt{k} o r - \sqrt{k}$

$- 18 \leq 0$

Then , roots are not defined . $- 18 \leq 0$

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