SOLUTION: 27x² + 9y²-81=0

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Question 1184178: 27x² + 9y²-81=0
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
27x%5E2%2B9y%5E2-81=0
3%2A3%2A3x%5E2%2B3%2A3y%5E2-3%2A3%2A3%2A3=0
3x%5E2%2By%5E2-9=0------------not finished, but now makes whatever you want to do easier.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


27x%5E2%2B9y%5E2-81=0
27x%5E2%2B9y%5E2=81
x%5E2%2F3%2By%5E2%2F9=1

Ellipse; put it in standard form:

%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1

(Note for an ellipse a is always greater than b)

%28x-0%29%5E2%2F%28sqrt%283%29%5E2%29%2B%28y-0%29%5E2%2F3%5E2=1

Center (h,k) = (0,0)
semi-major axis a = 3 (in the y direction)
semi-minor axis b = sqrt(3) (in the x direction)