What is (x^2)/5+(y^2)/9 =1 ?

The solution to (x^2)/5+(y^2)/9 =1 is Ellipse with (h,k)=(0,0),a=sqrt(5),b=3

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(x^2)/5+(y^2)/9 =1

\frac{x ^{2}}{5} + \frac{y ^{2}}{9} = 1

(h, k) = (0, 0), a = 5, b = 3

Solution steps

\frac{x ^{2}}{5} + \frac{y ^{2}}{9} = 1

Rewrite

\frac{x ^{2}}{5} + \frac{y ^{2}}{9} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 5 ) ^{2}} + \frac{( y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 3, a = 5

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

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

x^{2} - y^{2} = 4

y^{2} + 6 y - 2 x + 13 = 0

\frac{x ^{2}}{49} + \frac{y ^{2}}{16} = 1

What is (x^2)/5+(y^2)/9 =1 ?
The solution to (x^2)/5+(y^2)/9 =1 is Ellipse with (h,k)=(0,0),a=sqrt(5),b=3