What is 169x^2+144y^2-338x-864y-22871=0 ?

The solution to 169x^2+144y^2-338x-864y-22871=0 is Ellipse with (h,k)=(1,3),a=12,b=13

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169x^2+144y^2-338x-864y-22871=0

169 x^{2} + 144 y^{2} - 338 x - 864 y - 22871 = 0

(h, k) = (1, 3), a = 12, b = 13

Solution steps

169 x^{2} + 144 y^{2} - 338 x - 864 y - 22871 = 0

Rewrite

169 x^{2} + 144 y^{2} - 338 x - 864 y - 22871 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, 3), a = 12, b = 13

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, 3), b = 13, a = 12

What is 169x^2+144y^2-338x-864y-22871=0 ?
The solution to 169x^2+144y^2-338x-864y-22871=0 is Ellipse with (h,k)=(1,3),a=12,b=13