What is 9(5.66-2)x^2+y^2=36 ?

The solution to 9(5.66-2)x^2+y^2=36 is Ellipse with (h,k)=(0,0),a=1.04541…,b=6

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9(5.66-2)x^2+y^2=36

9 (5.66 - 2) x^{2} + y^{2} = 36

(h, k) = (0, 0), a = 1.04541 \dots, b = 6

Solution steps

9 (5.66 - 2) x^{2} + y^{2} = 36

Rewrite

9 (5.66 - 2) x^{2} + y^{2} = 36

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{1.04541 \dots ^{2}} + \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1.04541 \dots, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 6, a = 1.04541 \dots

What is 9(5.66-2)x^2+y^2=36 ?
The solution to 9(5.66-2)x^2+y^2=36 is Ellipse with (h,k)=(0,0),a=1.04541…,b=6