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What number needs to be added to both sides of the equation to complete the square? x^2+12x=-34

User FrankTan
by
7.9k points

2 Answers

5 votes

Answer:


36

Explanation:

The first step in completing the square is moving 34 to the other side of the equivalent symbol, then use this formula:


[(b)/(2)]^(2)


[(12)/(2)]^(2)= {6}^(2) = 36

You will then have this in Vertex Form:


{[x + 6]}^(2) - 70

The −70 comes from what you deduct from 36 to get −34. Remember, in this formula,
-H gives you the OPPOSITE TERMS OF WHAT THEY REALLY ARE, while
K gives you the NORMAL TERM, so be EXTREMELY CAREFUL.

I am joyous to assist you anytime.

User One Two Three
by
8.5k points
2 votes

Answer: The answer to your question is: 36

Explanation:

x^2 + 12x + 6^2 = - 34 + 6^2

x^2 + 12x + 36 = -34 + 36

(x + 6)^2 = 2

User Cgarvis
by
8.3k points

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