What is (x^2)/4+(y^2)/9 =11 ?

The solution to (x^2)/4+(y^2)/9 =11 is Ellipse with (h,k)=(0,0),a=2sqrt(11),b=3sqrt(11)

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(x^2)/4+(y^2)/9 =11

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 11

(h, k) = (0, 0), a = 211, b = 311

Solution steps

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 11

Rewrite

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 11

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 2 11 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 3 11 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 211, b = 311

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 311, a = 211

9 x^{2} + 25 y^{2} + 18 x + 50 y - 191 = 0

\frac{( x - 2 ) ^{2}}{5} + \frac{( y + 1 ) ^{2}}{4} = 1

6 x^{2} + y^{2} + 12 x = 0

2 - \frac{2 - 2 x}{2 x - x ^{2} - y ^{2}} = 0

(\frac{x ^{2}}{64}) + (\frac{y ^{2}}{36}) = 1

What is (x^2)/4+(y^2)/9 =11 ?
The solution to (x^2)/4+(y^2)/9 =11 is Ellipse with (h,k)=(0,0),a=2sqrt(11),b=3sqrt(11)