Solutions
Solutions of Rational Equations
Solving Using Cross Products
Example 2
Solve.
![Frac1 Frac1](https://claregladwinresd.glk12.org/pluginfile.php/936/mod_book/chapter/256/Rational_Functions/Images/CPE2-1.png)
Step 1. Use cross-multiplication to turn the rational equation into a polynomial equation.
![Frac2 Frac2](https://claregladwinresd.glk12.org/pluginfile.php/936/mod_book/chapter/256/Rational_Functions/Images/CPEx2-2.png)
Step 2. Simplify the equation, using the distributive property.
![Frac3 Frac3](https://claregladwinresd.glk12.org/pluginfile.php/936/mod_book/chapter/256/Rational_Functions/Images/CPEx2-3.png)
Step 3. Solve the equation.
![Solution Solution](https://claregladwinresd.glk12.org/pluginfile.php/936/mod_book/chapter/256/Rational_Functions/Images/CPEx2-4.png)
Step 4. Check for extraneous solutions.
The original equation had excluded values , since neither of these are the solution, x = 12 is not an extraneous solution.
*Remember: you can always check your answers by plugging the solutions into the original equation.