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

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

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36x^2+y^2=36

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

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

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

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

h (x) = 6 x^{2} - 5 x + 7 h (x) (2 + h (x))

0.8 x^{2} + y^{2} = 9

3 x^{2} - 6 x + y^{2} + 4 y - 11 = 0

7 x^{2} + 16 y^{2} + 28 x - 128 y + 172 = 0

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