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

Hard

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The video tutorial explains how to solve equations using the square root method. It begins by setting the equation to zero and using inverse operations to simplify it. The process involves taking the square root of a fraction and ensuring to include both positive and negative solutions. The tutorial concludes with a summary of the steps involved in the square root method.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an equation using the square root method?

Set the equation equal to zero

Subtract a constant from both sides

Multiply both sides by a constant

Add a constant to both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which operation is used to counteract multiplication by a number in an equation?

Addition

Subtraction

Division

Multiplication

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When taking the square root of a fraction, how can it be simplified?

By adding the numerator and denominator

By multiplying the numerator and denominator

By taking the square root of the numerator and denominator separately

By subtracting the numerator from the denominator

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must be included when introducing the square root in an equation?

Only the positive root

Only the negative root

Both positive and negative roots

Neither positive nor negative roots

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final expression for X when solving the equation using the square root method?

X = sqrt(5) / 6

X = ± sqrt(5) / 6

X = 5 / sqrt(36)

X = ± 5 / 6