The Quadratic Formula

Question 1

What is the discriminant of ?

Revolt · Accepted Answer

76

Question 2

Which equation has the solutions ?

Revolt · Accepted Answer

x2 + 3x + 3 = 0

Question 3

If is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?

Revolt · Accepted Answer

The discriminant is 0.

Question 4

Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?

Revolt · Accepted Answer

1 plus-or-minus StartRoot 19 EndRoot i

Question 5

The first two steps in the derivation of the quadratic formula by completing the square are shown below. Which answer choice shows the correct next step?Step 1: Step 2:

Revolt · Accepted Answer

mc031-5.jpg

Question 6

Using the quadratic formula to solve x2 = 5 – x, what are the values of x?

Revolt · Accepted Answer

StartFraction negative 1 plus-or-minus StartRoot 21 EndRoot Over 2 EndFraction

Question 7

Using the quadratic formula to solve 7x2 – x = 7, what are the values of x?

Revolt · Accepted Answer

StartFraction 1 plus-or-minus StartRoot 197 EndRoot Over 14 EndFraction

Question 8

What is the discriminant of 9x2 + 2 = 10x?

Revolt · Accepted Answer

28

Question 9

If the discriminant of a quadratic equation is equal to , which statement describes the roots?

Revolt · Accepted Answer

There are two complex roots.

Question 10

Which equation shows the quadratic formula used correctly to solve 5x2 + 3x – 4 = 0 for x?

Revolt · Accepted Answer

x = StartFraction negative 3 plus-or-minus StartRoot (3) squared minus 4 (5) (negative 4) EndRoot Over 2 (5) EndFraction

The Quadratic Formula Answers

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