Solving Quadratic Equations: Quadratic Formula

Question 1

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?

Revolt · Accepted Answer

The equation has two zeros because the discriminant is greater than 0.

Question 2

In simplest radical form, what are the solutions to the quadratic equation 6 = x2 – 10x?Quadratic formula: x =

Revolt · Accepted Answer

x = 5

Question 3

A quadratic equation has exactly one real number solution. Which is the value of its discriminant?

Revolt · Accepted Answer

0

Question 4

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

Revolt · Accepted Answer

–56

Question 5

What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?

Revolt · Accepted Answer

8

Question 6

A quadratic equation of the form 0=ax2+bx+c has a discriminant value of -16. How many real number solutions does the equation have?

Revolt · Accepted Answer

0

Question 7

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

Revolt · Accepted Answer

49

Question 8

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

Revolt · Accepted Answer

x = –6, 1

Question 9

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 = .

Revolt · Accepted Answer

Zero, because the discriminant is negative.

Question 10

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?

Revolt · Accepted Answer

The equation has one real number solution because the discriminant is 0.

Solving Quadratic Equations: Quadratic Formula Answers

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