Solving a quadratic equation by completing the square

Solving a quadratic equation by completing the square

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

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The video tutorial guides students through solving a quadratic equation by completing the square. It begins with setting up the problem and identifying variables, followed by factoring to simplify the equation. The instructor explains the process of completing the square and adjusting for factored terms. Finally, the solution is obtained using the square root method, emphasizing the importance of maintaining balance in the equation.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a quadratic equation according to the video?

Add a constant to both sides

Set the equation to zero

Identify the roots

Multiply all terms by a constant

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it necessary to factor out the coefficient of x^2 when it is not equal to 1?

To change the equation to a linear form

To eliminate the x term

To make the coefficient of x^2 equal to 1

To simplify the equation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of adding the square of half the coefficient of x to both sides of the equation?

To simplify the equation

To eliminate the constant term

To factor the equation completely

To create a perfect square trinomial

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a perfect square trinomial?

A trinomial that can be factored into two identical binomials

A trinomial with no real roots

A trinomial with a leading coefficient of zero

A trinomial that cannot be factored

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must be considered when taking the square root of both sides of an equation?

Only the negative root

No roots

Both positive and negative roots

Only the positive root

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you isolate the squared term in the equation before taking the square root?

Subtract a constant from both sides

Add a constant to both sides

Divide by the coefficient of the squared term

Multiply by the coefficient of the squared term

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in solving for x after taking the square root of both sides?

Add the constant term to both sides

Subtract the constant term from both sides

Multiply by the coefficient of x

Divide by the coefficient of x