What is 5y^2-2x^2=9 ?

The solution to 5y^2-2x^2=9 is Hyperbola with (h,k)=(0,0),a= 3/(sqrt(5)),b= 3/(sqrt(2))

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5y^2-2x^2=9

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

9 x^{2} + 25 y^{2} - 36 x - 50 y + 60 = 0

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

25 x^{2} - 10 x - 200 y - 119 = 0

\frac{x ^{2}}{16} - \frac{y ^{2}}{4} = 1

y^{2} = 8 x

What is 5y^2-2x^2=9 ?
The solution to 5y^2-2x^2=9 is Hyperbola with (h,k)=(0,0),a= 3/(sqrt(5)),b= 3/(sqrt(2))