AnswersAlgebra II Honors AThe Quadratic Formula

The Quadratic Formula Answers

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1
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Using the quadratic formula to solve x2 = 5 – x, what are the values of x?

A
StartFraction negative 1 plus-or-minus StartRoot 21 EndRoot Over 2 EndFraction
Option A
B
StartFraction negative 1 plus-or-minus StartRoot 19 EndRoot i Over 2 EndFraction
Option B
C
StartFraction 5 plus-or-minus StartRoot 21 EndRoot Over 2 EndFraction
Option C
D
StartFraction 1 plus-or-minus StartRoot 19 EndRoot i Over 2 EndFraction
Option D
2
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Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?

A
1 plus-or-minus StartRoot 21 EndRoot i
Option A
B
Negative 1 plus-or-minus StartRoot 19 EndRoot i
Option B
C
1 plus-or-minus 2 StartRoot 19 EndRoot i
Option C
D
1 plus-or-minus StartRoot 19 EndRoot i
Option D
3

What is the discriminant of ?

Question illustration
A
76
B
94
C
106
D
124
4

Which equation can be solved using the expression for x?

Question illustration
A
10x2 = 3x + 2
B
2 = 3x + 10x2
C
3x = 10x2 – 2
D
10x2 + 2 = –3x
5

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

Question illustration
A
There are two complex roots.
B
There are two real roots.
C
There is one real root.
D
There is one complex root.
6

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

A
–356
B
–172
C
28
D
72
7

Which equation has the solutions ?

Question illustration
A
2x2 + 6x + 9 = 0
B
x2 + 3x + 12 = 0
C
x2 + 3x + 3 = 0
D
2x2 + 6x + 3 = 0

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