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

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

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36x^2-4y^2=144

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

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

Solution steps

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

Rewrite

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

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

\frac{y ^{2}}{36} - \frac{x ^{2}}{49} = 1

\frac{( x + 2 ) ^{2}}{64} - \frac{( y - 3 ) ^{2}}{36} = 1

a^{2} + b^{2} i^{2} = 9

8 x^{2} - 2 y^{2} - 16 x - 16 y - 32 = 0

9 x^{2} - 25 y^{2} - 90 x + 50 y - 25 = 0

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