/*! 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} Q43. Solve the given equation.2x(x+3)... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q43. (page 462)

Solve the given equation.

2x(x+3)=2(x2+3)

Short Answer

Expert verified

x=1is the solution of the given equation.

Step by step solution

01

Step 1. Define an equation.

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equal sign "=".

02

Step 2. Define the power of a product rule.

Power of a product rule states that if the two exponents of the same base are multiplied then the exponents are added and base remains the same.

am.an=am+n

Where, is any non-zero real number.

03

Step 3. Solve the equation, 2x(2x+3)=2(x2+3).

Use the power of a product rule to solve the equation.

2xx+3=2x2+32xx+2x3=2x2+232x2+6x=2x2+62x2+6x鈭�2x2=66x=6x=66x=1

Therefore, x=1is the solution of the given 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

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

What is the solution to the following system of equations? Show your work.

y=6x鈭�1y=6x+4

Simplify each expression.

6x3y22

Simplify the expression

kk3

Express each number in standard form.

2.9脳10鈭�5

PACKAGING For a commercial art class, Aiko must design a new container for individually wrapped pieces of candy. The shape that she chose is a cylinder. The formula for the volume of a cylinder is V=蟺r2h.

a. The radius that Aiko would like to use is 2p3, and the height is 4p3. Write a monomial that represents the volume of her container.

b. Make a table of values for five possible radius widths and heights if the volume is to remain the same.

c. What is the volume of Aiko鈥檚 container if the height is doubled?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Statistics

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.