   Chapter A.2, Problem 29E 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. x 3 − x 2 = − 5

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: x3x2=5

For the denominators 3 and 2, the LCD is 6. We multiply each side of the equation by 6 and use the Distributive Axiom on the left side

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