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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

(\frac{y - 4}{16})^{2} - (\frac{x + 3}{36})^{2} = 1

\frac{( y - 3 ) ^{2}}{25} - \frac{( x + 4 ) ^{2}}{36} = 1

- 4 x^{2} + y^{2} = 64

y^{2} - 25 x^{2} + 4 y + 50 x - 46 = 0

\frac{y ^{2}}{20} - \frac{x ^{2}}{1} = 1

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