What is 9x^2-4y^2-72x=0 ?

The solution to 9x^2-4y^2-72x=0 is Hyperbola with (h,k)=(4,0),a=4,b=6

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9x^2-4y^2-72x=0

9 x^{2} - 4 y^{2} - 72 x = 0

(h, k) = (4, 0), a = 4, b = 6

Solution steps

9 x^{2} - 4 y^{2} - 72 x = 0

Rewrite

9 x^{2} - 4 y^{2} - 72 x = 0

in the form of a standard hyperbola equation

\frac{( x - 4 ) ^{2}}{4 ^{2}} - \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (4, 0), a = 4, b = 6

x^{2} + y^{2} + 6 x + 2 y + 6 = 0

\frac{x ^{2}}{100} + \frac{y ^{2}}{36} = 1

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

x^{2} + 2 y^{2} - 2 x + 8 y + 5 = 0

(x - 1)^{2} + (y - 1)^{2} = 2

What is 9x^2-4y^2-72x=0 ?
The solution to 9x^2-4y^2-72x=0 is Hyperbola with (h,k)=(4,0),a=4,b=6