AnswersFL-1200710-Mathematics for College Algebra ASolving Quadratic Equations: Zero Product Property

Solving Quadratic Equations: Completing the Square Answers

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1
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What are the solution(s) to the quadratic equation 9x2 = 4?

A
x = and x =
Option A
B
x = and x =
Option B
C
x = and x =
Option C
D
no real solution
2
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What is the first step in solving the quadratic equation x2 = ?

Question illustration
A
Take the square root of both sides of the equation.
B
Add to both sides of the equation.
Option B
C
Square both sides of the equation.
D
Subtract from both sides of the equation.
Option D
3

What are the solutions to the quadratic equation 4x2 = 64?

A
x = −16 and x = 16
B
x = −8 and x = 8
C
x = −4 and x = 4
D
x = −2 and x = 2
4

What are the solutions to the quadratic equation (5y + 6)2 = 24?

A
y = and y =
Option A
B
y = and y =
Option B
C
y = and y =
Option C
D
y = and y =
Option D
5

Nancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a?

A
-9
B
-3
C
3
D
9
6

What are the solutions to the quadratic equation x2 – 16 = 0?

A
x = 2 and x = –2
B
x = 4 and x = –4
C
x = 8 and x = –8
D
x = 16 and x = –16
7

What are the solution(s) to the quadratic equation x2 – 25 = 0?

A
x = 5 and x = –5
B
x = 25 and x = –25
C
x = 125 and x = –125
D
no real solution
8

What is the first step in solving the quadratic equation x2 – 40 = 0?

A
taking the square root of both sides of the equation
B
adding 40 to both sides of the equation
C
squaring both sides of the equation
D
subtracting 40 from both sides of the equation
9

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation(x – 8)2 = 144, x represents the side measure of the original lawn.

A
4 feet by 4 feet
B
8 + feet by 8 +
Option B
C
8 feet by 8 +
Option C
D
20 feet by 20 feet
10

What are the solution(s) to the quadratic equation 50 – x2 = 0?

A
x = ±2
Option A
B
x = ±6
Option B
C
x = ±5
Option C
D
no real solution

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