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icang [17]
3 years ago
8

Determine the solution set of (x - 4)2 = 12. {4 + 2√3, 4 - 2√3} {4 - 2√3, 4 - 2√3} {2√3 + 4, 2√3 - 4}

Mathematics
1 answer:
Alina [70]3 years ago
4 0

Answer:

{4 + 2√3, 4 - 2√3} thus the solution is A.  x = 4 + 2 sqrt(3) or x = 4 - 2 sqrt(3)

Step-by-step explanation:

Solve for x over the real numbers:

(x - 4)^2 = 12

Take the square root of both sides:

x - 4 = 2 sqrt(3) or x - 4 = -2 sqrt(3)

Add 4 to both sides:

x = 4 + 2 sqrt(3) or x - 4 = -2 sqrt(3)

Add 4 to both sides:

Answer: x = 4 + 2 sqrt(3) or x = 4 - 2 sqrt(3)

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PointMove

UndoRedoReset

Time (years)Savings account balance ($)

1

2

3

4

5

6

7

8

9

10

200

400

600

800

1000

1200

1400

1600

1800

2000

2200

2400

2600

2800

3000

3200

3400

3600

3800

4000

4200

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Time (years)

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1300

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2200

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1800

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3200

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9000

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