SOLUTION: what is 3x^2 + 3y^2 + 24y + 18x - 27=0 written in standard form

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Question 616800: what is 3x^2 + 3y^2 + 24y + 18x - 27=0 written in standard form
Answer by stanbon(75887) About Me  (Show Source):
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what is 3x^2 + 3y^2 + 24y + 18x - 27=0 written in standard form
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Gather the x-terms; Gather the y-terms:
3x^2 +18x + 3y^2 + 24y = 27
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Divide thru by 3 to get:
x^2 + 6x + y^2 + 8y = 9
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complete the square on the x-terms and on the y-terms:
x^2 + 6x + 9 + y^2 + 8y + 16 = 9 + 9 + 16
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Factor:
(x+3)^2 + (y+4)^2 = 34
That is the standard form:
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cheers,
Stan H.
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