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Solve a quadratic by applying the square root method

Solve a quadratic by applying the square root method

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve the equation y = X^2 - 16 using two methods: factoring by the difference of squares and the square root method. Initially, it demonstrates factoring by setting the equation to zero and rewriting it as (X - 4)(X + 4) = 0, leading to solutions X = 4 and X = -4. The tutorial then introduces the square root method, which involves isolating X^2, adding 16 to both sides, and taking the square root to find X = ±4. Both methods yield the same solutions, highlighting the versatility of the square root method for equations in the form of AX^2 + C.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation that the teacher is trying to solve?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the square root method differ from factoring in solving equations?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the square root method as described in the text.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of taking both the positive and negative square roots?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the solutions found using the square root method?

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