The Quadratic Formula

Question 1

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

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Question 2

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 3

In the derivation of the quadratic formula by completing the square, the equation is created by forming a perfect square trinomial. What is the result of applying the square root property of equality to this equation?

Revolt · Accepted Answer

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Question 4

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 5

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

Revolt · Accepted Answer

28

Question 6

Which equation has the solutions ?

Revolt · Accepted Answer

x2 – 2x – 4 = 0

Question 7

Which equation has the solutions ?

Revolt · Accepted Answer

x2 + 3x + 3 = 0

Question 8

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 9

Which equation can be solved using the expression for x?

Revolt · Accepted Answer

2 = 3x + 10x2

Question 10

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

Revolt · Accepted Answer

There are two complex roots.

The Quadratic Formula Answers

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