Question

For Exercises 11-38, use the square root property to solve each equation. Write complex number solutions in the form a $\pm$ bi. $$ (y-4)^{2}+144=0 $$

Name: Problem 28, Chapter 8: Intermediate Algebra for College Students
Uploaded: 2020-06-13T07:29:31-08:00
Duration: 35 s
Channel: Ankit Gupta
Description: For Exercises 11-38, use the square root property to solve each equation. Write complex number solutions in the form a ±bi. (y-4)^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.
$$
(y-4)^{2}+144=0
$$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 8, Problem 28

Instant Answer

Solved by Expert Ankit Gupta

06/13/2020

Step 1

In this case, we have $(y-4)^2 + 144 = 0$. To isolate the squared term, we need to subtract 144 from both sides of the equation: $(y-4)^2 = -144$ Show more…

Show all steps

Thanks for your feedback!

For Exercises 11-38, use the square root property to solve each equation. Write complex number solutions in the form a $\pm$ bi. $$ (y-4)^{2}+144=0 $$

Play audio

Feedback

Ankit Gupta and 66 other educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Solving Quadratic Equations

Solving quadratic equations often involves techniques such as factoring, completing the square, or using the square root property. When the equation leads to a negative value under a square root, the resulting solutions are complex, and must be expressed in standard form as a ± bi.

Square Root Property

The square root property is a method used to solve equations where a squared expression is set equal to a number. By isolating the square term, you can take the square root of both sides of the equation, remembering to include both the positive and negative solutions, thereby simplifying the process of finding the variable's value.

Complex Numbers

Complex numbers consist of a real part and an imaginary part, typically written in the form a ± bi. This form is used to express solutions when the square root of a negative number is encountered, with the imaginary unit i defined as the square root of -1.

Please give Ace some feedback