x^2-y^2=15

Solution

x^{2} - y^{2} = 15

(h, k) = (0, 0), a = 15, b = 15

Solution steps

x^{2} - y^{2} = 15

Rewrite

x^{2} - y^{2} = 15

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 15 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 15 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 15, b = 15

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

4 x^{2} - y^{2} - 4 x - 3 = 0

9 x^{2} + 4 y^{2} + 36 x - 24 y + 36 = 0

4 x^{2} - 16 x + 3 y^{2} + 24 y + 52 = 0

x = 1 - y^{2}

What is x^2-y^2=15 ?
The solution to x^2-y^2=15 is Hyperbola with (h,k)=(0,0),a=sqrt(15),b=sqrt(15)