/*! 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} Q 249 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q 249 (page 1236)

In the following exercises, solve by completing the square.

x2-4x=32

Short Answer

Expert verified

The solutions arex=-4andx=8.

Step by step solution

01

Given information. 

Given equationx2-4x=32

02

Make the perfect square.

Adding 4 to both sides of the equation.

x2-4x+4=32+4x2-4x=36

Writing it as a binomial square.

x2-2脳x脳2+22=36(x-2)2=36

03

Use the square root property. 

x-2=卤36x-2=卤62x-2=卤6

The two equations arex-2=6andx-2=-6.

04

Solve both equations for x.

x-2=-6x=-6+2x=-4Orx-2=6x=6+2x=8

Therefore, the solutions arex=8andx=-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

The length of a 200 square foot rectangular vegetable garden is four feet less than twice the width. Find the length and width of the garden . Round to the nearest tenth of a foot.

Solve the quadratic equation using square root property.

(b-1)2-9=39

Solve the quadratic equation using square root property.

b2=144

Solve 9m2-12m+4=25.

Solve quadratic equation using the square root property:x2=100
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Statistics

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.