Divide each term by to make the right side equal to one.

Simplify each term in the equation in order to set the right side equal to . The standard form of an ellipse or hyperbola requires the right side of the equation be .

This is the standard form of a hyperbola. Use this form to determine the eccentricity.

Match the values in this hyperbola to those of the standard form. The variable represents the x-offset from the origin, represents the y-offset from origin, .

Find the eccentricity by using the following formula.

Substitute the values of and into the formula.

Raise to the power of .

Raise to the power of .

Add and .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Find the Eccentricity 25x^2-36y^2=900