Question

For Exercises 11-38, use the square root property to solve each equation. Write complex number solutions in the form a $\pm$ bi. $$ z^{2}+8=40 $$

Name: Problem 22, Chapter 8: Intermediate Algebra for College Students
Uploaded: 2020-06-07T23:44:57-08:00
Duration: 47 s
Channel: Nez Nikoo
Description: For Exercises 11-38, use the square root property to solve each equation. Write complex number solutions in the form a ±bi. z^2+8=40

   For Exercises 11-38, use the square root property to solve each equation. Write complex number solutions in the form a $\pm$ bi.
$$
z^{2}+8=40
$$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 8, Problem 22

Instant Answer

Solved by Expert Nez Nikoo

06/07/2020

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z^2 = 32 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. $$ z^{2}+8=40 $$

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Key Concepts

Complex Numbers

Complex numbers are an extension of the real number system and are expressed in the form a ± bi, where a is the real part and b is the imaginary part (with i defined as the square root of -1). This form is particularly useful when solving quadratic equations that result in negative values under the square root, yielding non-real solutions.

Square Root Property

The square root property is a method for solving equations of the form x² = k. Once the equation is arranged so that a variable squared is equal to a constant, you can take the square root of both sides of the equation, remembering that both the positive and negative roots are solutions.

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