What is 225x^2+576y^2=176400 ?

The solution to 225x^2+576y^2=176400 is Ellipse with (h,k)=(0,0),a=28,b= 35/2

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225x^2+576y^2=176400

225 x^{2} + 576 y^{2} = 176400

(h, k) = (0, 0), a = 28, b = \frac{35}{2}

Solution steps

225 x^{2} + 576 y^{2} = 176400

Rewrite

225 x^{2} + 576 y^{2} = 176400

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{2 8 ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{35}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 28, b = \frac{35}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 28, b = \frac{35}{2}

4 x^{2} + 6 y^{2} + 4 x - 24 y = 24

x^{2} + 2 y^{2} = 5

2 x^{2} + 4 y^{2} = 5

9 x^{2} + 4 y^{2} \leq 36

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

What is 225x^2+576y^2=176400 ?
The solution to 225x^2+576y^2=176400 is Ellipse with (h,k)=(0,0),a=28,b= 35/2