What is 9x^2-2y^2=18 ?

The solution to 9x^2-2y^2=18 is Hyperbola with (h,k)=(0,0),a=sqrt(2),b=3

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9x^2-2y^2=18

9 x^{2} - 2 y^{2} = 18

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

Solution steps

9 x^{2} - 2 y^{2} = 18

Rewrite

9 x^{2} - 2 y^{2} = 18

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

7^{2} + b^{2} = (c + 1)^{2}

- 16 x^{2} + 9 y^{2} - 144 = 0

4 y^{2} - 2 x^{2} + 24 y - 8 x - 9 = 0

4 x^{2} - y^{2} - 8 x + 6 y - 4 = 0

7 p - p^{2} = 9 p + q^{2} - 16 - 5 q^{2} + 6

What is 9x^2-2y^2=18 ?
The solution to 9x^2-2y^2=18 is Hyperbola with (h,k)=(0,0),a=sqrt(2),b=3