What is 9x^2+36y^2=324 ?

The solution to 9x^2+36y^2=324 is Ellipse with (h,k)=(0,0),a=6,b=3

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9x^2+36y^2=324

9 x^{2} + 36 y^{2} = 324

(h, k) = (0, 0), a = 6, b = 3

Solution steps

9 x^{2} + 36 y^{2} = 324

Rewrite

9 x^{2} + 36 y^{2} = 324

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{6 ^{2}} + \frac{( y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 6, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 6, b = 3

5 x^{2} + 9 y^{2} - 20 x - 18 y - 16 = 0

(\frac{( x - 1 )}{6})^{2} + \frac{( y - 3 ) ^{2}}{2} = 1

\frac{( x - 0 ) ^{2}}{20} + \frac{( y - 0 ) ^{2}}{36} = 1

2 x^{2} + 4 y^{2} = 200

3 x^{2} + 4 y^{2} = 1

What is 9x^2+36y^2=324 ?
The solution to 9x^2+36y^2=324 is Ellipse with (h,k)=(0,0),a=6,b=3