Solve a quadratic by applying the square root method

Solve a quadratic by applying the square root method

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains why the difference of squares method cannot be applied to a given problem and introduces the square root method as an alternative. The instructor demonstrates solving the equation by setting it to zero, using inverse operations, and taking the square root of both sides. The importance of rationalizing the denominator is emphasized to simplify the final answer, ensuring it is not divided by an irrational number. The tutorial concludes with the final solution and a reminder to include both positive and negative roots.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the reason we cannot apply the difference of two squares in this scenario?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the steps taken to set the equation equal to zero.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of rationalizing the denominator in the final answer?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you derive the final answer using the square root method?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is it important to include plus or minus when introducing the square root?

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