What is (x^2-y^2)/3 =1 ?

The solution to (x^2-y^2)/3 =1 is Hyperbola with (h,k)=(0,0),a=sqrt(3),b=sqrt(3)

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(x^2-y^2)/3 =1

\frac{x ^{2} - y ^{2}}{3} = 1

(h, k) = (0, 0), a = 3, b = 3

Solution steps

\frac{x ^{2} - y ^{2}}{3} = 1

Rewrite

\frac{x ^{2} - y ^{2}}{3} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 3 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 3 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = 3

\frac{( y - 4 ) ^{2}}{100} - \frac{( x - 7 ) ^{2}}{49} = 1

- x^{2} + 9 y^{2} - 54 y + 45 = 0

9 x^{2} - 25 y^{2} - 90 x - 100 y - 100 = 0

\frac{( y ^{2} )}{25} - \frac{( x ^{2} )}{9} = 1

4 x^{2} - 25 y^{2} + 48 + 150 - 181 = 0

What is (x^2-y^2)/3 =1 ?
The solution to (x^2-y^2)/3 =1 is Hyperbola with (h,k)=(0,0),a=sqrt(3),b=sqrt(3)