x^2-y^2=65

Solution

x^{2} - y^{2} = 65

(h, k) = (0, 0), a = 65, b = 65

Solution steps

x^{2} - y^{2} = 65

Rewrite

x^{2} - y^{2} = 65

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 65 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 65 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 65, b = 65

- x^{2} + y^{2} = 4

- x^{2} + y^{2} = 9

x^{2} - y^{2} = 20

y \frac{1}{x} + \frac{1}{x + y} = 1

4 y^{2} + 2 y = x^{2} - 1

What is x^2-y^2=65 ?
The solution to x^2-y^2=65 is Hyperbola with (h,k)=(0,0),a=sqrt(65),b=sqrt(65)