What is (y^2)/(100)-((x-2)^2)/(64)=1 ?

The solution to (y^2)/(100)-((x-2)^2)/(64)=1 is Hyperbola with (h,k)=(2,0),a=10,b=8

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(y^2)/(100)-((x-2)^2)/(64)=1

\frac{y ^{2}}{100} - \frac{( x - 2 ) ^{2}}{64} = 1

(h, k) = (2, 0), a = 10, b = 8

Solution steps

\frac{y ^{2}}{100} - \frac{( x - 2 ) ^{2}}{64} = 1

Rewrite

\frac{y ^{2}}{100} - \frac{( x - 2 ) ^{2}}{64} = 1

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{1 0 ^{2}} - \frac{( x - 2 ) ^{2}}{8 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 0), a = 10, b = 8

\frac{x ^{2}}{16} - \frac{( y + 6 ) ^{2}}{9} = 1

\frac{- ( x - 5 ) ^{2}}{16} + \frac{( y + 7 ) ^{2}}{9} = 1

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

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

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

What is (y^2)/(100)-((x-2)^2)/(64)=1 ?
The solution to (y^2)/(100)-((x-2)^2)/(64)=1 is Hyperbola with (h,k)=(2,0),a=10,b=8