What is 9y^2+4x^2=36 ?

The solution to 9y^2+4x^2=36 is Ellipse with (h,k)=(0,0),a=3,b=2

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9y^2+4x^2=36

9 y^{2} + 4 x^{2} = 36

(h, k) = (0, 0), a = 3, b = 2

Solution steps

9 y^{2} + 4 x^{2} = 36

Rewrite

9 y^{2} + 4 x^{2} = 36

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 3, b = 2

What is 9y^2+4x^2=36 ?
The solution to 9y^2+4x^2=36 is Ellipse with (h,k)=(0,0),a=3,b=2