What is 3=(x^2)/4+(y^2)/9 ?

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

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3=(x^2)/4+(y^2)/9

3 = \frac{x ^{2}}{4} + \frac{y ^{2}}{9}

(h, k) = (0, 0), a = 23, b = 33

Solution steps

3 = \frac{x ^{2}}{4} + \frac{y ^{2}}{9}

Rewrite

3 = \frac{x ^{2}}{4} + \frac{y ^{2}}{9}

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 23, b = 33

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 33, a = 23

\frac{( x - 3 ) ^{2}}{49} + \frac{( y - 5 ) ^{2}}{16} = 1

\frac{x ^{2}}{64} + \frac{( y - 3 ) ^{2}}{9} = 1

4 x^{2} + z^{2} = 16

\frac{( x - 5 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{36} = 1

100 x^{2} + 64 y^{2} - 100 x - 1575 = 0

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