Question

For Exercises 11-38, use the square root property to solve each equation. Write complex number solutions in the form a $\pm$ bi. $$ r^{2}+48=0 $$

Name: Problem 20, Chapter 8: Intermediate Algebra for College Students
Uploaded: 2021-07-19T17:21:36-08:00
Duration: 23 s
Channel: Edward Downes
Description: For Exercises 11-38, use the square root property to solve each equation. Write complex number solutions in the form a ±bi. r^2+48=0

   For Exercises 11-38, use the square root property to solve each equation. Write complex number solutions in the form a $\pm$ bi.
$$
r^{2}+48=0
$$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 8, Problem 20

Instant Answer

Solved by Expert Edward Downes

07/19/2021

Step 1

In this case, the square term is already isolated: r^2 + 48 = 0. 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. $$ r^{2}+48=0 $$

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Key Concepts

Square Root Property

The square root property is a technique for solving equations where a variable is raised to the second power. By isolating the squared term and taking the square root of both sides, you obtain two solutions: one positive and one negative. This property is important in solving quadratic equations efficiently.

Complex Numbers

Complex numbers are numbers that consist of a real part and an imaginary part, typically written in the form a ± bi. They become essential when solving equations that yield a negative value under a square root, since the square root of a negative number is expressed using the imaginary unit i, where i² = -1.

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