use 9x^2+4y^2+18x-16y-11=0 to do the following:
write the equation in standrad form
9x^2+4y^2+18x-16y-11=0
9x^2+18x+4y^2-16y=11
9(x^2+2) +4(y^2-4y)=11
9[(x^2+2+1)-1] +4[(y^2-4y+4)-4]=11
9[(x+1)^2-1] +4[(y-2)^2-4]=11
9(x+1)^2-9 +4(y-2)^2-16=11
9(x+1)^2+4(y-2)^2=27
9(x+1)^2+4(y-2)^2=27
27 27 27
(x-1)^2 + 4(y-2)^2 =1
3 27
the 27 is divided by4(y-2)^2
is this right?? I think I did something wrong!