# How do you write a standard form equation for the hyperbola with #9x^2-100y^2+18x+600y+9=0#?

##### 1 Answer

Nov 17, 2015

Simply **complete the square** for both the x and y variables.

#### Explanation:

First, group together by variable and simplify:

Next, **complete the squares**, but be sure to keep *both sides* of the equation balanced!

Finally, divide by -900

So, this is a hyperbola with center

hope that helped