Question 476727
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