What is ((x^2)/4)+(y^2)/9 =5 ?

The solution to ((x^2)/4)+(y^2)/9 =5 is Ellipse with (h,k)=(0,0),a=2sqrt(5),b=3sqrt(5)

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((x^2)/4)+(y^2)/9 =5

(\frac{x ^{2}}{4}) + \frac{y ^{2}}{9} = 5

(h, k) = (0, 0), a = 25, b = 35

Solution steps

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 5

Rewrite

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 5

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 25, b = 35

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 35, a = 25

(\frac{x ^{2}}{4}) + (\frac{y ^{2}}{16}) = 1

25 x^{2} + (y^{2} - 4 y) = 21

\frac{x ^{2}}{25} - 13 y + 17 x = - \frac{y ^{2}}{49} + 1

x, \frac{Y ( x ) ^{2}}{4 - x ^{2}} = 1

2 x^{2} + 10 y^{2} - 10 x - 6 y - 10 = 0

What is ((x^2)/4)+(y^2)/9 =5 ?
The solution to ((x^2)/4)+(y^2)/9 =5 is Ellipse with (h,k)=(0,0),a=2sqrt(5),b=3sqrt(5)