/*! 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 255. In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q 255. (page 1236)

In the following exercises, solve by completing the square.

m2+10m-4=-13m

Short Answer

Expert verified

The solutions arem=-1andm=-9.

Step by step solution

01

Given information. 

Given equation m2+10m-4=-13

02

Make the perfect square.

Add 25 to both sides of the equation.

m2+10m+25=-13+4+25m2+10m+25=16

Writing it as a binomial square.

m2+2脳m脳5+52=16(m+5)2=16

03

Use the square root property. 

m+5=卤16m+5=卤42m+5=卤4

The equations arem+5=-4andm+5=4.

04

Solve both equations for m.

m+5=-4m=-4-5m=-9Orm+5=4m=4-5m=-1

Therefore, the solutions arem=-1andm=-9.

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

Solvex2=81.

Solve2x2=98.

Solve the quadratic equation using square root property.

a2=49

Solvec2+12=0.

Solve the quadratic equation using square root property.

(b+7)2=8
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Pure 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.