/*! 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 247 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q 247 (page 1236)

In the following exercises, solve by completing the square.

c2+20c=21

Short Answer

Expert verified

The solutions arec=1andc=-21.

Step by step solution

01

Given information

The given equation is:c2+20c=21

02

Make the perfect square.

Adding 100 to both sides of the given equation.

c2+20c+100=21+100c2+20c+100=121

Writing it as a binomial square.

role="math" localid="1653497925300" c2+2脳c脳10+102=121c+102=121

03

Use the square root property.

c+10=卤121c+10=卤112c+10=卤11

The two equations arec+10=-11andc+10=11.

04

Solve both equations forc.

c+10=-11c=-11-10c=-21Orc+10=11c=11-10c=1

Therefore, the two solutions arec=1andc=-21.

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

Solve quadratic equation by using square root propertyy2=144

An arrow is shot from the ground into the air at an initial speed of108ft/sec.Use the formula h=-16t2+v0tto determine when the arrow will be 180 feet from the ground . Round the nearest tenth of a second .

Solvey2+12y+36=32.

Solve the quadratic equation using square root property.

n2+48=0

Complete the square to make a perfect square trinomial. Write the result as a binomial square.

z2+8z
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Geometry

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.