SOLUTION: Express the equation in standard form. 64x^2 + 9y^2 - 384x

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Question 1204750: Express the equation in standard form.
64x^2 + 9y^2 - 384x - 36y + 468 = 0
Found 3 solutions by Alan3354, MathLover1, ikleyn:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
/Express the equation in standard form.
64x^2 + 9y^2 - 384x - 36y + 468 = 0
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Express the equation in standard form.
64x^2-384x + 9y^2-36y = -468
64(x^2-6x) + 9(y^2-4y) = -468
64(x^2-6x+9) + 9(y^2-4y+4) = -468 + 64*9 + 9*4 = 144 = 12^2
64(x-3)^2 + 9(y-2)^2 = 12^2
Or,

Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!

....complete squares

...divide by

Answer by ikleyn(52788)   (Show Source):
You can put this solution on YOUR website!
.

To see many other similar (and different) solved problems, look into the lessons
   - Standard equation of an ellipse
    - Identify elements of an ellipse given by its standard equation
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    - General equation of an ellipse
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    - Identify elements of an ellipse given by its general equation
in this site.

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SOLUTION: Express the equation in standard form. 64x^2 + 9y^2 - 384x - 36y + 468 = 0