Where (h,k) is the point about which the hyperbola is centered, a is the semi-major axis, and b is the semi-minor axis.
The process involves completing the square separately for the x and y variables.
First, put the constant term on the right:
Since there is no 1st degree x term, you can factor directly:
Take the lead coefficient on the term and factor it out of the y terms:
Divide the coefficient on the 1st order y term, square the result, and add to both sides. Remember, since you have the factor of -25 outside of the parentheses, you are actually adding -25 to both sides.
Factor the perfect square inside of the parentheses:
Divide by the constant term on the right so that the right hand side becomes 1:
Reduce the fractions:
Express the denominators as the square root squared:
