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

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