What is 144y^2-25x^2=3600 ?

The solution to 144y^2-25x^2=3600 is Hyperbola with (h,k)=(0,0),a=5,b=12

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144y^2-25x^2=3600

144 y^{2} - 25 x^{2} = 3600

(h, k) = (0, 0), a = 5, b = 12

Solution steps

144 y^{2} - 25 x^{2} = 3600

Rewrite

144 y^{2} - 25 x^{2} = 3600

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{5 ^{2}} - \frac{( x - 0 ) ^{2}}{1 2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 12

x^{2} - 25 y^{2} - 4 x + 75 y - 27 = 0

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

\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

What is 144y^2-25x^2=3600 ?
The solution to 144y^2-25x^2=3600 is Hyperbola with (h,k)=(0,0),a=5,b=12