AnswersFL-1200700-Mathematics for College Algebra MISSolving Quadratic Equations: Quadratic Formula

Solving Quadratic Equations: Quadratic Formula Answers

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Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.What are the solutions to the equation?

Question illustration
A
x = –1, 6
B
x = –6, 1
C
x = –22, 27
D
x = –27, 22
2
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What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?

A
–4
B
8
C
12
D
24
3

Rhett is solving the quadratic equation 0= x2 – 2x – 3 using the quadratic formula. Which shows the correct substitution of the values a, b, and c into the quadratic formula?Quadratic formula: x =

Question illustration
A
StartFraction 2 plus or minus StartRoot (negative 2) squared minus 4(1)(negative 3) EndRoot Over 2(1) EndFraction
Option A
B
StartFraction negative 2 plus or minus StartRoot (negative 2) squared minus 4(1)(negative 3) EndRoot Over 2(1) EndFraction
Option B
C
StartFraction 2 plus or minus StartRoot negative 2 squared minus 4(1)(negative 3) EndRoot Over 2(1) EndFraction
Option C
D
StartFraction negative 2 plus or minus StartRoot negative 2 squared minus 4(1)(negative 3) EndRoot Over 2(1) EndFraction
Option D
4

Anderson uses the discriminant to correctly find the number of real solutions of the quadratic equation x2 + 4x + 8 = 0. Which explanation could Anderson provide?

Question illustration
A
The equation has no real number solutions because the discriminant is 0.
B
The equation has one real number solution because the discriminant is 0.
C
The equation has no real number solutions because the discriminant is less than 0.
D
The equation has two real number solutions because the discriminant is greater than 0.
5

What is the discriminant of the quadratic equation 3 – 4x = –6x2?

A
–68
B
–56
C
76
D
88
6

Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes the discriminant and the number of zeros?

A
The equation has one zero because the discriminant is 1.
B
The equation has one zero because the discriminant is a perfect square.
C
The equation has two zeros because the discriminant is greater than 0.
D
The equation has no zeros because the discriminant is not a perfect square.
7

In simplest radical form, what are the solutions to the quadratic equation 0 = –3x2 – 4x + 5?Quadratic formula: x =

Question illustration
A
x =
Option A
B
x =
Option B
C
x =
Option C
D
x =
Option D
8

Quincy uses the quadratic formula to solve for the values of x in a quadratic equation. He finds the solution, in simplest radical form, to be x = .

Question illustration
A
Zero, because the discriminant is negative.
B
Zero, because the discriminant is not a perfect square.
C
One, because the negative and the minus cancel each other out.
D
Two, because of the ± symbol.
9

What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has?

A
The discriminant is equal to −16, which means the equation has no real number solutions.
B
The discriminant is equal to −16, which means the equation has two real number solutions.
C
The discriminant is equal to 24, which means the equation has no real number solutions.
D
The discriminant is equal to 24, which means the equation has two real number solutions.
10

What is the discriminant of the quadratic equation 0 = 2x2 + 3x – 5?

A
–37
B
–31
C
43
D
49

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