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

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

Popular >

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

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

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

Solution steps

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

Rewrite

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

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

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

9 x^{2} + 18 x + 25 y^{2} - 100 y = 116

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

(x^{2} + y^{2} - 16 x + 8 y + 80) = 4 x^{2} + 4 y^{2} - 16 x - 32 y + 80

4 y^{(2)} + 16 x^{(2)} - 36 x - 20 y + 18 = 0

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