Identifying Extraneous Solutions in Rational Equations

Identifying Extraneous Solutions in Rational Equations

Assessment

Interactive Video

Mathematics

1st - 6th Grade

Hard

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The video tutorial explains how to identify extraneous solutions in rational equations by checking solutions. It begins with an introduction to the concept of extraneous solutions and a review of solving rational expressions. The tutorial then provides a step-by-step solution to an example equation, demonstrating how to combine fractions and use the least common multiple. Finally, it shows how to check solutions for extraneous results, ensuring that the solutions do not result in zero denominators, and identifies the true solution.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens when you substitute 0 into the equation 3 over x plus 2 minus 1 over x equals 1 over 5x?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the true solution to the equation after checking for extraneous solutions?

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