What is (y^2)/(10^2)-(x^2)/(24^2)=1 ?

The solution to (y^2)/(10^2)-(x^2)/(24^2)=1 is Hyperbola with (h,k)=(0,0),a=10,b=24

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(y^2)/(10^2)-(x^2)/(24^2)=1

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

(h, k) = (0, 0), a = 10, b = 24

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 10, b = 24

4 x^{2} - y^{2} + 24 x + 40 = 0

4 x^{2} - y^{2} + 16 x + 2 y = 21

9 x^{2} - 4 y^{2} + 36 x + 40 y - 208 = 0

x^{2} - 5 y^{2} + 10 y + 4 x - 37 = 0

\frac{( x - 1 ) ^{2}}{9} - \frac{y ^{2}}{4} = 1

What is (y^2)/(10^2)-(x^2)/(24^2)=1 ?
The solution to (y^2)/(10^2)-(x^2)/(24^2)=1 is Hyperbola with (h,k)=(0,0),a=10,b=24