What is 144y^2+63x^2=9072 ?

The solution to 144y^2+63x^2=9072 is Ellipse with (h,k)=(0,0),a=12,b=3sqrt(7)

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144y^2+63x^2=9072

144 y^{2} + 63 x^{2} = 9072

(h, k) = (0, 0), a = 12, b = 37

Solution steps

144 y^{2} + 63 x^{2} = 9072

Rewrite

144 y^{2} + 63 x^{2} = 9072

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{1 2 ^{2}} + \frac{( y - 0 ) ^{2}}{( 3 7 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 12, b = 37

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 12, b = 37

\frac{( X - 3 ) ^{2}}{169} + \frac{( Y - 2 ) ^{2}}{144} = 1

25 x^{2} + 350 x + 16 y^{2} + 96 y - 2231 = 0

\frac{( x - 3 ) ^{2}}{9} + \frac{( y + 4 ) ^{2}}{25} = 1

64 y^{2} - 512 y - (- x^{2} - 16 x + 105) = 0

16 x^{2} + 25 y^{2} - 96 x - 300 y + 644 = 0

What is 144y^2+63x^2=9072 ?
The solution to 144y^2+63x^2=9072 is Ellipse with (h,k)=(0,0),a=12,b=3sqrt(7)