What is 64x^2+81y^2=5184 ?

The solution to 64x^2+81y^2=5184 is Ellipse with (h,k)=(0,0),a=9,b=8

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64x^2+81y^2=5184

64 x^{2} + 81 y^{2} = 5184

(h, k) = (0, 0), a = 9, b = 8

Solution steps

64 x^{2} + 81 y^{2} = 5184

Rewrite

64 x^{2} + 81 y^{2} = 5184

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{9 ^{2}} + \frac{( y - 0 ) ^{2}}{8 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 9, b = 8

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 9, b = 8

x^{2} + 4 y^{2} - 2 x + 4 y + 1 = 0

2 x^{2} + 24 y^{2} + 6 x + 4 y + 1 > 0

16 x^{2} + 4 y^{2} + 96 x - 8 y + 84 = 0

\frac{x ^{2}}{23} + \frac{y ^{2}}{19} = 1

4 x^{2} + 24 x + 36 + 36 y^{2} - 360 y + 756 = 0

What is 64x^2+81y^2=5184 ?
The solution to 64x^2+81y^2=5184 is Ellipse with (h,k)=(0,0),a=9,b=8