What is (x^2)/(5.66^2)+(y^2)/(3.59^2)=1 ?

The solution to (x^2)/(5.66^2)+(y^2)/(3.59^2)=1 is Ellipse with (h,k)=(0,0),a=5.66,b=3.59

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(x^2)/(5.66^2)+(y^2)/(3.59^2)=1

\frac{x ^{2}}{5.6 6 ^{2}} + \frac{y ^{2}}{3.5 9 ^{2}} = 1

(h, k) = (0, 0), a = 5.66, b = 3.59

Solution steps

\frac{x ^{2}}{5.6 6 ^{2}} + \frac{y ^{2}}{3.5 9 ^{2}} = 1

Rewrite

\frac{x ^{2}}{5.6 6 ^{2}} + \frac{y ^{2}}{3.5 9 ^{2}} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{5.6 6 ^{2}} + \frac{( y - 0 ) ^{2}}{3.5 9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5.66, b = 3.59

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 5.66, b = 3.59

5 x^{2} + 2 y^{2} = 1

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

3 (x - 5)^{2} + 4 (y + 1)^{2} = 6

- 8 y^{2} + 72 < 9 x^{2}

4 x^{2} + 9 y^{2} + 16 x + 54 y + 61 = 0

What is (x^2)/(5.66^2)+(y^2)/(3.59^2)=1 ?
The solution to (x^2)/(5.66^2)+(y^2)/(3.59^2)=1 is Ellipse with (h,k)=(0,0),a=5.66,b=3.59