AnswersEA Academy Civics 9Introduction to Economics

Solving Quadratic Equations: Completing the Square Answers

39 verified answers2 views
21
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What is the solution set of x2 – 10 = 30x?

A
{–220, 250}
B
{–250, 220}
C
{15 – , 15 + }
D
{–15 – , –15 + }
22
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What are the solutions of x2 = 8 – 5x?

A
Option
B
Option
C
Option
D
Option
23

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
24

6912

A
6
B
9
C
12
25

X 679

A
6
B
7
C
9
26

x + 3x + 6x + 10x + 12

A
+ 3
B
+ 6
C
+ 10
D
+ 12
27

Bao Yu is completing the square to solve the polynomial equation.x2 – x – 3 = 0

A
adding –x to both sides of the equation
B
adding –3 to both sides of the equation
C
isolating the first term, x2
D
isolating the constant, –3
28

369

A
3
B
6
C
9
29

x – 3X x + 3x – 6

A
– 3
B
x + 3
C
– 6
30

–4 or 4–6 or 62 or 10–10 or –2

A
–4 or 4
B
–6 or 6
C
2 or 10
D
–10 or –2
31

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
32

34X 7

A
3
B
4
C
7
33

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
34

What number should be added to both sides of the equation to complete the square? x2 – 6x = 5

Answer not available
35

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
36

What value of c makes x2 − 24x + c a perfect square trinomial?

A
−144
B
−48
C
48
D
144
37

Solve x2 + 14x = −24 by completing the square.What is the solution set of the equation?

A
{−12, −2}
B
{−7, 7}
C
{−6, −4}
D
{−5, 5}
38

Which are the solutions of x2 = –11x + 4?

A
StartFraction negative 11 minus StartRoot 137 EndRoot Over 2 EndFraction comma StartFraction negative 11 + StartRoot 137 EndRoot Over 2 EndFraction
Option A
B
StartFraction negative 11 minus StartRoot 125 EndRoot Over 2 EndFraction comma StartFraction negative 11 + StartRoot 125 EndRoot Over 2 EndFraction
Option B
C
StartFraction 11 minus StartRoot 137 EndRoot Over 2 EndFraction comma StartFraction 11 + StartRoot 137 EndRoot Over 2 EndFraction
Option C
D
StartFraction 11 minus StartRoot 125 EndRoot Over 2 EndFraction comma StartFraction 11 + StartRoot 125 EndRoot Over 2 EndFraction
Option D
39

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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