What is 18y^2-4x^2=1 ?

The solution to 18y^2-4x^2=1 is Hyperbola with (h,k)=(0,0),a= 1/(3sqrt(2)),b= 1/2

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18y^2-4x^2=1

18 y^{2} - 4 x^{2} = 1

(h, k) = (0, 0), a = \frac{1}{3 2}, b = \frac{1}{2}

Solution steps

18 y^{2} - 4 x^{2} = 1

Rewrite

18 y^{2} - 4 x^{2} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{3 2}, b = \frac{1}{2}

1 1^{2} - x^{2} + y^{2} = 9^{2}

9 (x - 3)^{2} - 4 (y - 1)^{2} = - 36

x^{2} - y^{2} - 2 x - 2 y - 1 = 0

x, h (x)^{2} = 13 x^{2} - 6 x + 1

\frac{8 ( x ^{2} - \frac{1}{4} )}{\frac{9}{2}} - 9 y^{2} \frac{9}{2} = \frac{\frac{9}{2}}{\frac{9}{2}}

What is 18y^2-4x^2=1 ?
The solution to 18y^2-4x^2=1 is Hyperbola with (h,k)=(0,0),a= 1/(3sqrt(2)),b= 1/2