What is (y^2)/(12^2)-(x^2)/(5^2)=1 ?

The solution to (y^2)/(12^2)-(x^2)/(5^2)=1 is Hyperbola with (h,k)=(0,0),a=12,b=5

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(y^2)/(12^2)-(x^2)/(5^2)=1

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

y^{2} + C = (\frac{3 x ^{2}}{2} - 6 x + C)

16 x^{2} - 25 y^{2} - 160 x = 0

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

y^{2} - 9 x^{2} - 6 y + 54 x = 153

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

What is (y^2)/(12^2)-(x^2)/(5^2)=1 ?
The solution to (y^2)/(12^2)-(x^2)/(5^2)=1 is Hyperbola with (h,k)=(0,0),a=12,b=5