/*! 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 49 Classify each of the equations f... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 49

Classify each of the equations for the following problems by degree. If the term linear, quadratic, or cubic applies, state it. $$ x^{2}-25=0 $$

Short Answer

Expert verified
Answer: The given equation is a quadratic equation.

Step by step solution

01

Identify the highest power of the variable

In the equation $$x^{2}-25=0$$, the highest power of the variable x is 2, which appears in the x^2 term.
02

Classify the equation by degree

The highest power of the variable is 2, so this equation is classified as a second-degree equation.
03

Determine if the equation is linear, quadratic, or cubic

Second-degree equations are also known as quadratic equations. Since our given equation is a second-degree equation, it is a quadratic equation.

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

Name the property of real numbers that makes \(4 y x^{2}=4 x^{2} y\) a true statement.

For the following problems, perform the multiplications and combine any like terms. $$ (a-4)\left(a^{2}+a-5\right) $$

Find the product. \((4 x+3)(4 x-3)\).

Find the domain of the equations. Assume that the independent variable is the variable that appears in the expression to the right of the equal sign. $$ y=\frac{2}{x} $$

Find the domain of the equations. Assume that the independent variable is the variable that appears in the expression to the right of the equal sign. $$ m=\frac{-16}{h} $$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Statistics

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.