Solve a rational equation with extraneous solutions

Solve a rational equation with extraneous solutions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the process of identifying factors and the least common denominator (LCD) in algebraic expressions. It explains how to simplify expressions by multiplying with the LCD and solve equations using the distributive property. The tutorial also emphasizes the importance of checking for extraneous solutions by substituting values back into the original equation to ensure no zero denominators. Ultimately, it concludes that the solutions found are extraneous, leading to no real solutions.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process of identifying the unique terms when finding the least common denominator (LCD)?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to simplify the expression using the least common denominator (LCD).

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the steps to solve the equation after applying the distributive property?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you check for extraneous solutions in the context of this problem?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusions can be drawn about the solutions found in this problem?

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