What is x^2-y^2=105 ?

The solution to x^2-y^2=105 is Hyperbola with (h,k)=(0,0),a=sqrt(105),b=sqrt(105)

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x^2-y^2=105

x^{2} - y^{2} = 105

(h, k) = (0, 0), a = 105, b = 105

Solution steps

x^{2} - y^{2} = 105

Rewrite

x^{2} - y^{2} = 105

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 105 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 105 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 105, b = 105

x^{2} - y^{2} - (- 10) = 0

\frac{( x - 2 ) ^{2}}{16} - \frac{( y - 4 ) ^{2}}{9} = 1

9 x^{2} - y^{2} - 18 x + 10 y - 52 = 0

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

y^{2} - \frac{x ^{2}}{4} = 1

What is x^2-y^2=105 ?
The solution to x^2-y^2=105 is Hyperbola with (h,k)=(0,0),a=sqrt(105),b=sqrt(105)