Learn how to solve a quadratic by applying the difference of two squares

Learn how to solve a quadratic by applying the difference of two squares

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial demonstrates how to solve an equation using the difference of two squares. It begins by setting the equation to zero and identifying the terms that can be rewritten as squares. The instructor explains how to factor the equation into two binomials and applies the zero product property to find the solutions. The process involves using inverse operations to solve for X, resulting in two solutions: 20 and -20.

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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 difference of two squares?

Divide both sides by a variable

Add a constant to both sides

Multiply both sides by two

Set the equation equal to zero

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the term 225 be expressed as a squared term?

10 squared

20 squared

12 squared

15 squared

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'a' when rewriting 9/16 X^2 in the form of a squared term?

1/2 X

3/2 X

9/16 X

3/4 X

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is used to solve the equation after factoring it into two binomials?

Zero Product Property

Distributive Property

Associative Property

Commutative Property

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the solutions for X after applying the Zero Product Property?

X = 25 and X = -25

X = 10 and X = -10

X = 20 and X = -20

X = 15 and X = -15