Answers FL-1200700-Mathematics for College Algebra MISSolving Quadratic Equations: Quadratic Formula

Solving Quadratic Equations: Quadratic Formula — Unit test Answers

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What values of b satisfy 4(3b + 2)2 = 64?

b = and b = –2

b = 2 and b =

b = and b = 3

b = 2 and b =

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What are the solutions to the quadratic equation 4(x + 2)2 = 36

x = −11 and x = 7

x = −7 and x = 11

x = −5 and x = 1

x = −1 and x = 5

Which equation has an a-value of –2, a b-value of 1, and a c-value of 3?

0 = –2x2 + x + 3

0 = 2x2 + x + 3

0 = –2x2 + 3

0 = 2x2 – x + 3

Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.

8 inches by 8 inches

9 inches by 9 inches

12 inches by 12 inches

13 inches by 13 inches

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = –6. Which function could Heather be writing?

f(x) = x2 + 36x + 12

f(x) = x2 – 36x – 12

f(x) = –x2 + 12x + 36

f(x) = –x2 – 12x – 36

Which function has real zeros at x = −10 and x = −6?

f(x) = x2 + 16x + 60

f(x) = x2 − 16x + 60

f(x) = x2 + 4x + 60

f(x) = x2 − 4x + 60

What is the value of the discriminant of the quadratic equation −2x2 = −8x + 8, and what does its value mean about the number of real number solutions the equation has?

The discriminant is equal to 0, which means the equation has no real number solutions.

The discriminant is equal to 0, which means the equation has one real number solution.

The discriminant is equal to 128, which means the equation has no real number solutions.

The discriminant is equal to 128, which means the equation has two real number solutions.

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has?

The discriminant is −55, so the equation has 2 real solutions.

The discriminant is −55, so the equation has no real solutions.

The discriminant is 73, so the equation has 2 real solutions.

The discriminant is 73, so the equation has no real solutions.

A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?

–5

The function g(x) is defined as g(x) = 6x2 + 23x – 4. When does g(x) = 0?

x = –6 or x =