Solving Rational Equations | Three Mistakes

The video tutorial addresses three common mistakes students make when solving rational equations: misusing the cross product, incorrectly using the least common denominator (LCD), and failing to check for extraneous solutions. The instructor provides detailed explanations and examples to help students understand and avoid these errors, emphasizing the importance of proper techniques in solving rational equations.

What is the first mistake that students commonly make when solving rational equations?

Explain why applying the cross product to every rational equation can be problematic.

What should students do instead of using the cross product when solving rational equations?

Describe the second mistake students make regarding the least common denominator (LCD).

How can students simplify the process of finding the least common denominator?

What is an extraneous solution, and why is it important to check for them?

Provide an example of how an extraneous solution can arise in solving rational equations.