/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 17 Find each product and write the ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 17

Find each product and write the result in standard form. $$ (-5+i)(-5-i) $$

Short Answer

Expert verified
The product of the two given complex numbers in standard form is \(26\).

Step by step solution

01

Write Down the Complex Numbers

First, write down the complex numbers being multiplied, namely: \(-5 + i\) and \(-5 - i\).
02

Expand the Product

Next, multiply these two complex numbers, much like binoculars in Algebra. Apply the distributive property while treating 'i' as a variable to get: \((-5 \times -5) + (-5 \times -i) + (i \times -5) + (i \times -i)\). This simplifies to: \(25 + 5i - 5i - i^2)\.
03

Simplify

Now, replace \(i^2\) with -1 and simplify the equation, resulting in \(25 + 1 = 26\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Use the Pythagorean Theorem and the square root property to solve. Express answers in simplified radical form. Then find a decimal approximation to the nearest tenth. a. A wheelchair ramp with a length of 122 inches has a horizontal distance of 120 inches. What is the ramp's vertical distance? b. Construction laws are very specific when it comes to access ramps for the disabled. Every vertical rise of 1 inch requires a horizontal run of 12 inches. Does this ramp satisfy the requirements?

Use the Pythagorean Theorem and the square root property to solve. Express answers in simplified radical form. Then find a decimal approximation to the nearest tenth. The base of a 30 -foot ladder is 10 feet from a building. If the ladder reaches the flat roof, how tall is the building?

Explaining the Concepts. Describe how to solve an absolute value inequality involving the symbol \(<\). Give an example.

In Exercises 95鈥�102, use interval notation to represent all values of x satisfying the given conditions. $$ y_{1}=\frac{2}{3}(6 x-9)+4, y_{2}=5 x+1, \text { and } y_{1}>y_{2} $$

Explaining the Concepts. What is a compound inequality and how is it solved?
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.