What is ((y-h)^2)/(49)-((x-k)^2)/(81)=1 ?

The solution to ((y-h)^2)/(49)-((x-k)^2)/(81)=1 is Hyperbola with (h,k)=(k,h),a=7,b=9

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((y-h)^2)/(49)-((x-k)^2)/(81)=1

\frac{( y - h ) ^{2}}{49} - \frac{( x - k ) ^{2}}{81} = 1

(h, k) = (k, h), a = 7, b = 9

Solution steps

\frac{( y - h ) ^{2}}{49} - \frac{( x - k ) ^{2}}{81} = 1

Rewrite

\frac{( y - h ) ^{2}}{49} - \frac{( x - k ) ^{2}}{81} = 1

in the form of a standard hyperbola equation

\frac{( y - h ) ^{2}}{7 ^{2}} - \frac{( x - k ) ^{2}}{9 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (k, h), a = 7, b = 9

\frac{x ^{2}}{2} - \frac{y ^{2}}{3} = 1

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

a^{2} - b^{2} = 3000

625 y^{2} - 400 x^{2} = 250000

49 x^{2} - 25 y^{2} - 686 x - 50 y - 2375 = 0

What is ((y-h)^2)/(49)-((x-k)^2)/(81)=1 ?
The solution to ((y-h)^2)/(49)-((x-k)^2)/(81)=1 is Hyperbola with (h,k)=(k,h),a=7,b=9