Math Word Problems Demystified - A Self Teaching Guide

Step 4: Solve each equation

x
 3 þ 3 ¼ 0 þ 3 xþ 3 
 3 ¼ 0 
 3

x¼ 3 x¼
 3

EXAMPLE:Solvex^2 ¼ 6 x.

SOLUTION:

Step 1: x^2 
 6 x¼ 0

Step 2: x(x
6)¼ 0

Step 3: x¼ 0 x
 6 ¼ 0

Step 4: x
 6 þ 6 ¼ 0 þ 6

x¼þ 6
It should be noted that not all quadratic equations can be solved by
factoring. However, for the purposes of this book, the solutions to the word
problems in the next lesson can be solved using factoring.

Try These

Solve each:

1. x^2
   9 x¼
   18.


2. x¼x^2
   20.


3. 2x^2 þ 9 ¼ 9 x.


4. 6x^2
   11 x¼10.


5. x^2 ¼
   8 x.

REFRESHER VI Quadratic Equations 229