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

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

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5x^2-2y^2=9

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

- x^{2} + 2 y^{2} + 28 y + 14 = 0

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

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

x - 3 = \frac{y ^{2} + 9}{x + 3}

x^{2} - 16 y^{2} - 16 = 0

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