x^2-y^2=25

Solution

x^{2} - y^{2} = 25

(h, k) = (0, 0), a = 5, b = 5

Solution steps

x^{2} - y^{2} = 25

Rewrite

x^{2} - y^{2} = 25

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} - \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 5

x^{2} + y^{2} = 100

y^{2} = - 14 x

16 x^{2} + y^{2} = 16

\frac{y ^{2}}{9} - \frac{x ^{2}}{16} = 1

\frac{x ^{2}}{9} + \frac{y ^{2}}{16} = 1

What is x^2-y^2=25 ?
The solution to x^2-y^2=25 is Hyperbola with (h,k)=(0,0),a=5,b=5