Final: Check the Answer

Part of the Polynomials & Rational Expressions section of Coddy's Algebra 2 journey. Lesson 50 of 51.

Solve the rational equation on the board. Clearing its fractions leaves a quadratic with two candidates, but only one of them is an answer of the original equation. Check both.

Challenge

Solve $\frac{2x}{x-3} = \frac{6}{x-3}+x$ . Check each candidate and keep only the true answer.

Try it yourself

\frac{2x}{x-3} = \frac{6}{x-3}+x

Get $x$ alone

All lessons in Polynomials & Rational Expressions

1Polynomial Long Division

How Long Division Works The Remainder Theorem A Missing Term Recap: Long Division

4Polynomial Equations

Common Factor First Grouping to Solve Fourth Powers Recap: Polynomial Equations

7Adding and Subtracting

Same Bottom Different Bottoms Subtracting Factor the Bottoms First Recap: Adding Fractions

10Variation

Direct Variation Inverse Variation Work Together Recap: Variation

2Remainders and Factors

The Factor Theorem Finding a Missing Number Using a Known Factor Recap: Remainders and Factors

5Sign Charts

Between the Roots Outside the Roots A Negative Leading Term Reading a Sign Chart Recap: Sign Charts

8Rational Equations

Clearing Fractions x in the Bottom Cross-Multiplying A False Answer One True, One False Recap: Rational Equations

11Final Challenges

Final: Divide It Out Final: Every Root Final: One FractionFinal: Check the AnswerFinal: The Sign Chart

3Factoring Higher Degree

Factor by Grouping Grouping All the Way Difference of Cubes Sum of Cubes A Quadratic in Disguise Recap: Factoring

6Rational Expressions

Cancelling Factors Excluded Values Multiplying Dividing Recap: Rational Expressions

9Rational Inequalities

Signs of a Fraction Including the Edge Recap: Rational Inequalities