SOLUTION: Express the equation in standard form.
64x^2 + 9y^2 - 384x - 36y + 468 = 0
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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
- Find the standard equation of an ellipse given by its elements
- General equation of an ellipse
- Transform a general equation of an ellipse to the standard form by completing the square
- Identify elements of an ellipse given by its general equation
in this site.
Learn the subject from there.
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