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

The solution to x^2+36y^2=36 is Ellipse with (h,k)=(0,0),a=6,b=1

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x^2+36y^2=36

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

(h, k) = (0, 0), a = 6, b = 1

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 6, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 6, b = 1

25 x^{2} + 16 y^{2} + 50 x + 64 y - 311 = 0

4 x^{2} - 24 x + 36 y^{2} - 360 y + 864 = 0

3 (x - 1)^{2} + (y - 3)^{2} = 27

4 x^{2} + y^{2} + 4 x + 2 y + 1 = 0

\frac{( x - 1 ) ^{2}}{64} + \frac{( y - 2 ) ^{2}}{25} = 1

What is x^2+36y^2=36 ?
The solution to x^2+36y^2=36 is Ellipse with (h,k)=(0,0),a=6,b=1