How to solve using the difference of two squares with fractions

How to solve using the difference of two squares with fractions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a quadratic equation by factoring using the difference of two squares. It begins by identifying the equation's form and determining the values of A and B. The tutorial then applies the zero product property to set the factors equal to zero and solve for X using inverse operations. The process includes handling fractions and multiplying by the reciprocal to find the solutions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to factor a difference of squares?

(a + b)(a - b)

(a - b)(a - b)

(a + b)(a + b)

(a^2 + b^2)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the value of 'a' in the equation 4x^2 - 25/81?

By adding 4x^2 and 25/81

By dividing 4x^2 by 2

By subtracting 25/81 from 4x^2

By taking the square root of 4x^2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'b' when factoring the equation 4x^2 - 25/81?

25/81

4x

9/5

5/9

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is used to solve for 'x' after factoring the equation?

Distributive property

Zero product property

Associative property

Commutative property

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the solutions for 'x' in the equation 4x^2 - 25/81 = 0 after factoring?

-5/9 and 0

0 and 5/18

5/9 and -5/9

-5/18 and 5/18