Introduction to the Quadratic Formula

Question 1

Which shows the correct substitution of the values a, b, and c from the equation 1 = –2x + 3x2 + 1 into the quadratic formula?Quadratic formula:

Revolt · Accepted Answer

x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (3)(0) EndRoot Over 2(3) EndFraction

Question 2

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

Revolt · Accepted Answer

–7

Question 3

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

Revolt · Accepted Answer

The square root of terms separated by addition and subtraction cannot be calculated individually.

Question 4

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

Revolt · Accepted Answer

16

Question 5

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

Revolt · Accepted Answer

2

Question 6

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

Revolt · Accepted Answer

factoring the binomial

Question 7

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

Revolt · Accepted Answer

1

Question 8

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

Revolt · Accepted Answer

a = , b = –3, c = –2

Question 9

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

Revolt · Accepted Answer

25

Question 10

What are the values of a, b, and c in the quadratic equation –2x2 + 4x – 3 = 0?

Revolt · Accepted Answer

a = –2, b = 4, c = – 3

Introduction to the Quadratic Formula Answers

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