What is 3x^2-5y^2=18 ?

The solution to 3x^2-5y^2=18 is Hyperbola with (h,k)=(0,0),a=sqrt(6),b=(3sqrt(2))/(sqrt(5))

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3x^2-5y^2=18

3 x^{2} - 5 y^{2} = 18

(h, k) = (0, 0), a = 6, b = \frac{3 2}{5}

Solution steps

3 x^{2} - 5 y^{2} = 18

Rewrite

3 x^{2} - 5 y^{2} = 18

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 6 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{3 2}{5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = \frac{3 2}{5}

x^{2} - y^{2} - 6 x - 8 y + 9 = 0

x^{2} - 3 x + 2 y - y^{2} = 1

9 x^{2} - 6 y^{2} - 108 x + 128 y + 212 = 0

\frac{Y ^{2}}{1} - \frac{X ^{2}}{16} = 1

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

What is 3x^2-5y^2=18 ?
The solution to 3x^2-5y^2=18 is Hyperbola with (h,k)=(0,0),a=sqrt(6),b=(3sqrt(2))/(sqrt(5))