The Quadratic Formula

Question 1

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

Revolt · Accepted Answer

28

Question 2

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 3

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

Question 4

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 5

If x = –3 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 6

Using the quadratic formula to solve 5x = 6x2 – 3, what are the values of x?

Revolt · Accepted Answer

StartFraction 5 plus-or-minus StartRoot 97 EndRoot Over 12 EndFraction

Question 7

Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x?

Revolt · Accepted Answer

x = StartFraction 1 plus-or-minus StartRoot (negative 1) squared +4 (7) (9) EndRoot Over 2 (7) EndFraction

Question 8

Which equation has the solutions ?

Revolt · Accepted Answer

x2 + 3x + 3 = 0

Question 9

When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to create a perfect square trinomial?

Revolt · Accepted Answer

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Question 10

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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The Quadratic Formula Answers

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