What is 36x^2-4y^2-144=0 ?

The solution to 36x^2-4y^2-144=0 is Hyperbola with (h,k)=(0,0),a=2,b=6

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36x^2-4y^2-144=0

36 x^{2} - 4 y^{2} - 144 = 0

(h, k) = (0, 0), a = 2, b = 6

Solution steps

36 x^{2} - 4 y^{2} - 144 = 0

Rewrite

36 x^{2} - 4 y^{2} - 144 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 6

x^{2} - y^{2} + 6 x + 8 y - 75 = 0

\frac{x ^{2}}{25} - \frac{y ^{2}}{1} = 1

z^{2} = \frac{y + 5}{9} + 5 + y \cdot \frac{y + 5}{9}

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

y^{2} - 5 x^{2} = 90

What is 36x^2-4y^2-144=0 ?
The solution to 36x^2-4y^2-144=0 is Hyperbola with (h,k)=(0,0),a=2,b=6