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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

9 x^{2} + 25 y^{2} + 36 x + 150 y + 36 = 0

16 x^{2} + 25 y^{2} - 224 x - 150 y + 1009 = 400

\frac{( x - 2 ) ^{2}}{4} + \frac{( y + 2 ) ^{2}}{8} = 1

2 x^{2} + y^{2} - 4 = 0

4 x^{2} + 25 y^{2} + 24 x + 250 y = - 561

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