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

The solution to (x^2)/4+(y^2)/9 =4 is Ellipse with (h,k)=(0,0),a=4,b=6

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

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

(h, k) = (0, 0), a = 4, b = 6

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{4 ^{2}} + \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 4, 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 = 4

\frac{( x - 6 ) ^{2}}{16} + \frac{( y + 3 ) ^{2}}{25} = 1

\frac{x ^{2}}{49} + \frac{y ^{2}}{36} = 1

9 x^{2} + 4 y^{2} + 18 x - 8 y - 131 = 0

2 x^{2} - 8 x + y^{2} + 6 y + 15 = 0

8 x^{2} + 2 y^{2} - 12 = 0

What is (x^2)/4+(y^2)/9 =4 ?
The solution to (x^2)/4+(y^2)/9 =4 is Ellipse with (h,k)=(0,0),a=4,b=6