Chapter A.2, Problem 30E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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 2 + x 3 + x 4 = 26

To determine

To solve:

The given equation.

Explanation

Properties of equation solving:

1) Addition Property of Equality (ifÂ a=b,Â thenÂ 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 (ifÂ a=b,Â thenÂ aâˆ’c=bâˆ’c): An equivalent equation results when the same number is subtracted from each side of an equation.

3) Multiplication Property of Equality (ifÂ a=b,Â thenÂ aâ‹…c=bâ‹…cÂ forÂ câ‰ 0): An equivalent equation results when each side of an equation is multiplied by the same nonzero number.

4) Division Property of Equality (ifÂ a=b,Â thenÂ ac=bcÂ forÂ câ‰ 0): An equivalent equation results when each side of an equation is divided by the same nonzero number.

Calculation:

Given: x2+x3+x4=26

For the denominators 2, 3 and 4, the LCD is 12. We multiply each side of the equation by 12 and use the Distributive Axiom on the left side

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