What is (y^2)/4+(x^2)/9 =10 ?

The solution to (y^2)/4+(x^2)/9 =10 is Ellipse with (h,k)=(0,0),a=3sqrt(10),b=2sqrt(10)

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(y^2)/4+(x^2)/9 =10

\frac{y ^{2}}{4} + \frac{x ^{2}}{9} = 10

(h, k) = (0, 0), a = 310, b = 210

Solution steps

\frac{y ^{2}}{4} + \frac{x ^{2}}{9} = 10

Rewrite

\frac{y ^{2}}{4} + \frac{x ^{2}}{9} = 10

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 3 10 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 2 10 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 310, b = 210

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 310, b = 210

What is (y^2)/4+(x^2)/9 =10 ?
The solution to (y^2)/4+(x^2)/9 =10 is Ellipse with (h,k)=(0,0),a=3sqrt(10),b=2sqrt(10)