   Chapter A.2, Problem 26E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 21 to 32, solve each equation. b = 27 − b 2

To determine

To solve:

The given equation.

Explanation

Properties of equation solving:

1) Addition Property of Equality (if a=b, then a+c=b+c): An equivalent equation results when the same number is added to each side of an equation.

2) Subtraction Property of Equality (if a=b, then ac=bc): An equivalent equation results when the same number is subtracted from each side of an equation.

3) Multiplication Property of Equality (if a=b, then ac=bc for c0): An equivalent equation results when each side of an equation is multiplied by the same nonzero number.

4) Division Property of Equality (if a=b, then ac=bc for c0): An equivalent equation results when each side of an equation is divided by the same nonzero number.

Calculation:

Given: b=27b2

First we multiply both sides by 2

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