SOLUTION: The problem is 9y^2+18y=25x^2+216 I have tried over and over to solve this and I keep getting odd numbers. I do not know how to get it into standard form correctly or get a, b,

Question 564980: The problem is 9y^2+18y=25x^2+216
I have tried over and over to solve this and I keep getting odd numbers. I do not know how to get it into standard form correctly or get a, b, or c to graph it. Help!!
Thank you,
Kaite
Answer by issacodegard(60) (Show Source): You can put this solution on YOUR website!
Hi, the equation of a hyperbola is

So, consider the left hand side of the equation given in the problem. We can complete the square by adding 9 to both sides. This gives us:

Rearranging, and letting X=x, Y=y+1, we get:

This is the equation of a hyperbola for say z and w:

Shifted one unit down (we would need to take w=y+1 to get the equation given in X,Y)
RELATED QUESTIONS
I am not sure if this is a quadratic actually, but I wasn't sure what selection in the... (answered by RAY100,drj,Theo)

I need help with solving this problem: Directions: Let f(x)=x^2 and g(x)=3x+7. Find... (answered by Alan3354)

Okay, here goes another easy one that I can't solve: Printer A can print a report in 3... (answered by amnd)

I have done this problem over and over. I keep getting an answer of -2 when I check the... (answered by josmiceli)

Solving systems by elimination how do i solve this: {2 over 3x -3y = 1 over 5... (answered by ankor@dixie-net.com)

I'm just stuck on this easy question. I know I just use the LCD; but I keep getting... (answered by elima)

(1/(x+2)^2)-(3/(x+2))=54 I can not figure out how to do this, i have tried... (answered by Alan3354)

Simplify. Okay, I have to simplify this but I do not know how. This is very new to me and (answered by stanbon)

(-1,5);m=-4/7 I have asked for help but still don't know how to get to my answer. I... (answered by Alan3354)