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For Exercises 11-38, use the square root property to solve each equation. Write complex number solutions in the form a $\pm$ bi. $$ q^{2}+144=0 $$

Name: Problem 18, Chapter 8: Intermediate Algebra for College Students
Uploaded: 2020-03-07T17:52:09-08:00
Duration: 2 min 15 s
Channel: Joanna Quigley
Description: For Exercises 11-38, use the square root property to solve each equation. Write complex number solutions in the form a ±bi. q^2+144=0

   For Exercises 11-38, use the square root property to solve each equation. Write complex number solutions in the form a $\pm$ bi.
$$
q^{2}+144=0
$$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 8, Problem 18

Instant Answer

Solved by Expert Joanna Quigley

03/07/2020

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The square root property states that if x^2 = k, then x = ±√k. Show more…

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For Exercises 11-38, use the square root property to solve each equation. Write complex number solutions in the form a $\pm$ bi. $$ q^{2}+144=0 $$

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Key Concepts

Square Root Property

The square root property is a method used to solve equations of the form x² = k. It involves taking the square root of both sides of the equation and considering both the positive and negative roots, which provides the complete set of solutions for the equation.

Complex Numbers

Complex numbers extend the set of real numbers to include solutions for equations that involve the square roots of negative numbers. They are generally expressed in the form a ± bi, where a represents the real part and b represents the coefficient of the imaginary unit.

Imaginary Unit

The imaginary unit, denoted as i, is defined by the property i² = -1. It is a fundamental component in expressing the square roots of negative numbers, helping to write solutions to equations that do not have real solutions in the form a ± bi.

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