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Solving a quadratic using difference of two squares

Solving a quadratic using difference of two squares

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains two methods to solve a quadratic equation. The first method involves using inverse operations to isolate the variable and solve for its value. The second method uses the difference of squares to factor the equation and apply the zero product property. Both methods lead to the same solution, demonstrating the positive and negative roots of the equation.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a quadratic equation using inverse operations?

Multiply both sides by the coefficient of the variable

Add or subtract to isolate the variable term

Take the square root of both sides

Divide by the coefficient of the variable

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving a quadratic equation, why is it important to consider both positive and negative roots?

To ensure all possible solutions are found

Because it is a requirement of the quadratic formula

To simplify the equation further

Because the equation might have no solution

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the alternative method discussed for solving quadratic equations?

Graphical method

Difference of squares

Using the quadratic formula

Completing the square

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the difference of squares method, what is the factored form of the equation 36Q^2 - 49?

(6Q - 7)(6Q + 7)

(6Q + 7)(6Q - 7)

(Q + 6)(Q - 6)

(Q - 7)(Q + 7)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is used to solve the equation after factoring it using the difference of squares?

Zero product property

Associative property

Distributive property

Commutative property

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