What is ((x-81)^2)/(64^2)+((y-64)^2)/(81^2)=1 ?

The solution to ((x-81)^2)/(64^2)+((y-64)^2)/(81^2)=1 is Ellipse with (h,k)=(81,64),a=64,b=81

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((x-81)^2)/(64^2)+((y-64)^2)/(81^2)=1

\frac{( x - 81 ) ^{2}}{6 4 ^{2}} + \frac{( y - 64 ) ^{2}}{8 1 ^{2}} = 1

(h, k) = (81, 64), a = 64, b = 81

Solution steps

\frac{( x - 81 ) ^{2}}{6 4 ^{2}} + \frac{( y - 64 ) ^{2}}{8 1 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (81, 64), a = 64, b = 81

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (81, 64), b = 81, a = 64

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

x, 2^{2} = h (x)^{2} + (\frac{x}{2})^{2}

4 x^{2} + y^{2} \leq 17

0.5 = 4 x^{2} + y^{2}

\frac{x ^{2}}{9} + y^{2} > 9

What is ((x-81)^2)/(64^2)+((y-64)^2)/(81^2)=1 ?
The solution to ((x-81)^2)/(64^2)+((y-64)^2)/(81^2)=1 is Ellipse with (h,k)=(81,64),a=64,b=81