What is ((y-4)^2)/(100)-((x-7)^2)/(49)=1 ?

The solution to ((y-4)^2)/(100)-((x-7)^2)/(49)=1 is Hyperbola with (h,k)=(7,4),a=10,b=7

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((y-4)^2)/(100)-((x-7)^2)/(49)=1

\frac{( y - 4 ) ^{2}}{100} - \frac{( x - 7 ) ^{2}}{49} = 1

(h, k) = (7, 4), a = 10, b = 7

Solution steps

\frac{( y - 4 ) ^{2}}{100} - \frac{( x - 7 ) ^{2}}{49} = 1

Rewrite

\frac{( y - 4 ) ^{2}}{100} - \frac{( x - 7 ) ^{2}}{49} = 1

in the form of a standard hyperbola equation

\frac{( y - 4 ) ^{2}}{1 0 ^{2}} - \frac{( x - 7 ) ^{2}}{7 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (7, 4), a = 10, b = 7

- x^{2} + 9 y^{2} - 54 y + 45 = 0

9 x^{2} - 25 y^{2} - 90 x - 100 y - 100 = 0

\frac{( y ^{2} )}{25} - \frac{( x ^{2} )}{9} = 1

4 x^{2} - 25 y^{2} + 48 + 150 - 181 = 0

9 y^{2} + 36 y - 4 x^{2} - 16 x - 16 = 0

What is ((y-4)^2)/(100)-((x-7)^2)/(49)=1 ?
The solution to ((y-4)^2)/(100)-((x-7)^2)/(49)=1 is Hyperbola with (h,k)=(7,4),a=10,b=7