AnswersFL-1200710-Mathematics for College Algebra ASolving Quadratic Equations: Completing the Square

Introduction to the Quadratic Formula Answers

10 verified answers1 views
1
Free Preview

What are the values of a, b, and c in the quadratic equation 0 = x2 – 3x – 2?

Question illustration
A
a = , b = 3, c = 2
Option A
B
a = , b = –3, c = –2
Option B
C
a = , b = 3, c = –2
Option C
D
a = , b = –3, c = 2
Option D
2
Free Preview

Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?Quadratic formula: x =

Question illustration
A
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction
Option A
B
x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction
Option B
C
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (3)(6) EndRoot Over 2(3) EndFraction
Option C
D
x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4 (3)(6) EndRoot Over 2(3) EndFraction
Option D
3

A student is deriving the quadratic formula. Her first two steps are shown.Step 1: –c = ax2 + bxStep 2:

Question illustration
A
division property of equality
B
factoring the binomial
C
completing the square
D
subtraction property of equality
4

What is the value of the discriminant for the quadratic equation 0 = x + 2 + x2?Discriminant = b2 – 4ac

A
–9
B
–7
C
7
D
9
5

Some of the steps in the derivation of the quadratic formula are shown.Step 4: Step 5: Step 6: Step 7:

Question illustration
A
Negative values, like −4ac, do not have a square root.
B
The ± symbol prevents the square root from being evaluated.
C
The square root of terms separated by addition and subtraction cannot be calculated individually.
D
The entire term b2 − 4ac must be divided by 2a before its square root can be determined.
6

Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real number solutions does the equation have?Discriminant = b2-4ac

A
0
B
1
C
2
D
12
7

Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions does the equation have?Discriminant = b2-4ac

A
0
B
1
C
2
D
24
8

What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x?Discriminant = b2 – 4ac

A
–8
B
4
C
8
D
16
9

The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown.Step 1: –c = ax2 + bx

A
subtraction property of equality
B
completing the square
C
factoring out the constant
D
zero property of multiplication
10

What is the value of the discriminant for the quadratic equation 0 = 2x2 + x – 3?Discriminant = b2 – 4ac

A
–25
B
–23
C
25
D
26

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Solving Quadratic Equations: Completing the Square

Quiz
10 verified answers

Pre-Test

Quiz
10 verified answers

Introduction to the Quadratic Formula

Introduction to the Quadratic Formula Answers —…