What is 9x^2-4y^2+36=0 ?

The solution to 9x^2-4y^2+36=0 is Hyperbola with (h,k)=(0,0),a=3,b=2

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9x^2-4y^2+36=0

9 x^{2} - 4 y^{2} + 36 = 0

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

Solution steps

9 x^{2} - 4 y^{2} + 36 = 0

Rewrite

9 x^{2} - 4 y^{2} + 36 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

- x^{2} + y^{2} - 6 = 3

x^{2} + 12 x - y^{2} + 10 y = 12

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

y^{2} - 4 y = 3 x^{2} - 10 x

(\frac{a + b}{100}) \cdot (a - b) = \frac{1}{25}

What is 9x^2-4y^2+36=0 ?
The solution to 9x^2-4y^2+36=0 is Hyperbola with (h,k)=(0,0),a=3,b=2