Hello, so basically I have previously taken applied calculus about 2 years ago. Friend is now taking precalc and asked for help. Needless to say..ive forgotten much of what I learned. So before I go on helping..have some problems I am attempting that I want to check myself on. So I will probably update this with various questions to check myself if that's ok. Thanks

First up, putting equation into standard form for a conic. (are all these ellipses?)

3x^2-y^2+6x+6y - 10 = 0

So complete the square I ended up with

3(x+1)^2-(y+3)^2 = 20

putting in standard form by dividing by 20 I came up with

[3(X+1)^2]/20-[(y+3)^2]/20 = 1

is this answer correct? Thanks

and 2nd

4x^2+9y^2+24x+18y+9 = 0

4(x+3)^2=9(y+1)^2 = 1******-9 + (1^2)+(3^2) = 1

since already = 1..is in standard form?

last question for standard form

x^2+10x = -2y+1

x^2+10x+2y = 1

(x+5)^2+2y = 26

[((x+5)^2)/26]+(2y/26) = 1