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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

User DrNio
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2 Answers

3 votes
The answer would be C.
Hope is helps!:)
User BitDrink
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1 vote

Answer: C) 16

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Step-by-step explanation:

The number to the left of the x term is 8. So the x coefficient is 8.

Take half of this value to get 8/2 = 4

Then square that result: 4^2 = 16

Therefore we add 16 to both sides to help complete the square

x^2 + 8x = 4

x^2 + 8x + 16 = 4 + 16 .... add 16 to both sides

x^2 + 8x + 16 = 20

(x + 4)^2 = 20 .... factor the left side

After this point we would apply the square root method and subtract 4 from both sides to get the two roots for x.

User Michael Guild
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