/*! 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 51 For the following problems, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Problem 51

For the following problems, solve the rational equations. $$ \frac{16}{y^{2}}=1 $$

Short Answer

Expert verified
Question: Solve the rational equation: $\frac{16}{y^{2}}=1$. Answer: The possible values of y are y = 4 and y = -4.

Step by step solution

01

Multiply both sides of the equation by y^2

To get rid of the fraction, we will multiply both sides of the equation by y^2. This will give us a new equation without a fraction: $$ y^2(\frac{16}{y^{2}})=y^2(1) $$
02

Simplify the equation

Now, let's simplify the equation by canceling out the terms on each side of the equation: $$ 16 = y^2 $$
03

Solve for y

To find the value of y, we need to find the square root of both sides of the equation: $$ y= \pm \sqrt{16} $$ The possible values of y are: $$ y= \pm 4 $$ So, the solution for the rational equation is y = 4 and y = -4.

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

For the following problems, perform the divisions. $$ \frac{2 y^{2}+5 y+3}{y^{2}-3 y-1} $$

Simplify \(\frac{\frac{1}{x+5}}{\frac{4}{x^{2}-25}} .\)

For the following problems, divide the polynomials. $$ y^{10}+6 y^{5}+9 \text { by } y^{5}+3 $$

For the following problems, perform the indicated operations. $$ \frac{y^{2}-1}{y^{2}+9 y+20} \div \frac{y^{2}+5 y-6}{y^{2}-16} $$

Find the product. \(\frac{x^{2}+2 x-8}{x^{2}-9} \cdot \frac{2 x+6}{4 x-8}\).
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

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.