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

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

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

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

(h, k) = (0, 0), a = 2, b = 3

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 3

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

a^{2} - b^{2} = 3000

625 y^{2} - 400 x^{2} = 250000

49 x^{2} - 25 y^{2} - 686 x - 50 y - 2375 = 0

49 x^{2} - 25 y^{2} - 686 x - 50 y - 2375 = 1

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