AnswersFL-1200710-Mathematics for College Algebra ASolving Quadratic Equations: Zero Product Property

Introduction to the Quadratic Formula Answers

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What number should be added to both sides of the equation to complete the square?x2 + 3x = 6

A
Option
Option A
B
(StartFraction 3 Over 2 EndFraction) squared
Option B
C
3
D
62
2
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Which are the solutions of the quadratic equation?x2 = –5x – 3

A
–5, 0
B
StartFraction negative 5 minus StartRoot 13 EndRoot Over 2 EndFraction comma StartFraction negative 5 + StartRoot 13 EndRoot Over 2 EndFraction
Option B
C
StartFraction 5 minus StartRoot 13 EndRoot Over 2 EndFraction comma StartFraction 5 + StartRoot 13 EndRoot Over 2 EndFraction
Option C
D
5, 0
3

What value of c makes x2 − 12x + c a perfect square trinomial?

A
−36
B
−24
C
24
D
36
4

Which are the solutions of x2 = –13x – 4?

A
0, 13
B
0, –13
C
StartFraction 13 minus StartRoot 153 EndRoot Over 2 EndFraction comma StartFraction 13 + StartRoot 153 EndRoot Over 2 EndFraction
Option C
D
StartFraction negative 13 minus StartRoot 153 EndRoot Over 2 EndFraction comma StartFraction negative 13 + StartRoot 153 EndRoot Over 2 EndFraction
Option D
5

What value of c makes x2 + 6x + c a perfect square trinomial?

A
3
B
6
C
9
D
12
6

Which are the solutions of x2 = 19x + 1?

A
StartFraction 19 minus StartRoot 19 EndRoot Over 2 EndFraction comma StartFraction 19 + StartRoot 19 EndRoot Over 2 EndFraction
Option A
B
StartFraction 19 minus StartRoot 365 EndRoot Over 2 EndFraction comma StartFraction 19 + StartRoot 365 EndRoot Over 2 EndFraction
Option B
C
StartFraction negative 19 minus StartRoot 19 EndRoot Over 2 EndFraction comma StartFraction negative 19 + StartRoot 19 EndRoot Over 2 EndFraction
Option C
D
StartFraction negative 19 minus StartRoot 365 EndRoot Over 2 EndFraction comma StartFraction negative 19 + StartRoot 365 EndRoot Over 2 EndFraction
Option D
7

Which are the solutions of the quadratic equation?x2 = 7x + 4

A
StartFraction negative 7 minus StartRoot 65 EndRoot Over 2 EndFraction comma StartFraction negative 7 + StartRoot 65 EndRoot Over 2 EndFraction
Option A
B
–7, 0
C
StartFraction 7 minus StartRoot 65 EndRoot Over 2 EndFraction comma StartFraction 7 + StartRoot 65 EndRoot Over 2 EndFraction
Option C
D
7, 0
8

What number should be added to both sides of the equation to complete the square?x2 + 8x = 4

A
4
B
8
C
16
D
32
9

Which are the solutions of x2 = –7x – 8?

A
StartFraction 7 Over 2 EndFraction minus StartFraction StartRoot 17 EndRoot Over 4 EndFraction comma StartFraction 7 Over 2 EndFraction + StartFraction StartRoot 17 EndRoot Over 4 EndFraction
Option A
B
StartFraction negative 7 Over 2 EndFraction minus StartFraction StartRoot 17 EndRoot Over 4 EndFraction comma StartFraction negative 7 Over 2 EndFraction + StartFraction StartRoot 17 EndRoot Over 4 EndFraction
Option B
C
StartFraction 7 minus StartRoot 17 EndRoot Over 2 EndFraction comma StartFraction 7 + StartRoot 17 EndRoot Over 2 EndFraction
Option C
D
StartFraction negative 7 minus StartRoot 17 EndRoot Over 2 EndFraction comma StartFraction negative 7 + StartRoot 17 EndRoot Over 2 EndFraction
Option D

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