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

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

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4y^2-9x^2=36

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

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

Solution steps

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

Rewrite

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

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

49 x^{2} - 25 y^{2} - 686 x - 50 y + 2375 = 0

\frac{( x - 3 ) ^{2}}{25} - \frac{( y + 1 ) ^{2}}{25} = 1

8 x^{2} - 2 y^{2} - 4 x - 6 y + 15 = 0

x^{2} - 4 y^{2} = 16

x^{2} - 4 y^{2} - 2 x - 40 y - 103 = 0

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