Solving Quadratic Equations: Factoring

Question 1

Which of the following expressions are perfect-square trinomials? Check all of the boxes that apply.

Revolt · Accepted Answer

4x2 +12x + 9; x2 + 20x + 100

Question 2

Compare your response with the sample response presented here. Did your explanation

Revolt · Accepted Answer

mention the square root property?; say that x could also be –2?

Question 3

Take the square root of both sides to get the solutions ⇒ 8 .

Revolt · Accepted Answer

⇒ 8: 8 + 2√2i; Part 2: 2

Question 4

Use the square root property of equality to solve(x – 3)2 = –4.The solutions are .

Revolt · Accepted Answer

3 ± 2i

Question 5

x² - 5x +

Revolt · Accepted Answer

25/4

Question 6

x² + x + 49

Revolt · Accepted Answer

14

Question 7

A student says that if 5x2 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer.

Revolt · Accepted Answer

I disagree with the student. While 2 is a solution, it is not the only possible value for x. Dividing both sides of the equation 5x^2 = 20 by 5 results in x^2 = 4. According to the square root property, taking the square root of both sides gives x = 2 or x = -2. Therefore, x could be -2 as well.

Question 8

Given (x – 7)2 = 36, select the values of x.

Revolt · Accepted Answer

x = 13; x = 1

Question 9

Write the equation so that a = 1: x2 + x =

Revolt · Accepted Answer

Part 1: -6; Part 2: -13

Question 10

The solution to x2 – 10x = 24 is .

Revolt · Accepted Answer

12 or –2

Solving Quadratic Equations: Factoring Answers

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