SOLUTION: Put the equation in standard form for an ellipse 100x^2-200x+9y^2+18y=791

Question 476727: Put the equation in standard form for an ellipse
100x^2-200x+9y^2+18y=791
Found 2 solutions by stanbon, lwsshak3:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Put the equation in standard form for an ellipse
100x^2-200x+9y^2+18y=791
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100(x^2-2x+1) + 9(y^2+2y+1) = 791+100+9
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100(x-1)^2 + 9(y+1)^2 = 900
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(x-1)^2/9 + (y+1)^2/100 = 1
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cheers,
Stan H.
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Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Put the equation in standard form for an ellipse
100x^2-200x+9y^2+18y=791
**
100x^2-200x+9y^2+18y=791
completing the squares
100(x^2-2x+1)+9(y^2+2+1)=791+100+9=900
100(x-1)^2+9(y+1)^2=900
divide by 100
(x-1)^2/9+(y+1)^2/100=1
This is an equation of an ellipse with vertical major axis of the standard form:
(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, with (h,k)=(x,y) coordinates of the center
Given equation:
(x-1)^2/9+(y+1)^2/100=1
Center:(1,-1)
a^2=100
b^2=9
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