What is (x^2)/8-(y^2)/6 =1 ?

The solution to (x^2)/8-(y^2)/6 =1 is Hyperbola with (h,k)=(0,0),a=2sqrt(2),b=sqrt(6)

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(x^2)/8-(y^2)/6 =1

\frac{x ^{2}}{8} - \frac{y ^{2}}{6} = 1

(h, k) = (0, 0), a = 22, b = 6

Solution steps

\frac{x ^{2}}{8} - \frac{y ^{2}}{6} = 1

Rewrite

\frac{x ^{2}}{8} - \frac{y ^{2}}{6} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 2 2 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 6 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 22, b = 6

2 x^{2} - 4 y^{2} + 9 x - 15 y - 18 = 0

4 x^{2} - 32 x - y^{2} - 4 y + 24 = 0

(x - 2)^{2} - (y - 4)^{2} = 81

x^{2} - 9 y^{2} - 2 x + 54 y - 116 = 0

9 x^{2} - 4 y^{2} - 18 x + 24 y + 45 = 0

What is (x^2)/8-(y^2)/6 =1 ?
The solution to (x^2)/8-(y^2)/6 =1 is Hyperbola with (h,k)=(0,0),a=2sqrt(2),b=sqrt(6)