The Quadratic Formula

Question 1

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 2

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 3

What is the discriminant of ?

Revolt · Accepted Answer

76

Question 4

Which equation has the solutions ?

Revolt · Accepted Answer

3x2 – 10x – 1 = 0

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

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

Revolt · Accepted Answer

There are two complex roots.

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

Which equation could generate the curve in the graph below?

Revolt · Accepted Answer

y = 3x2 – 2x + 1

Question 9

Which equation could generate the curve in the graph below?

Revolt · Accepted Answer

y = –2x2 – 16x – 28

Question 10

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

The Quadratic Formula Answers