What is 36x^2+25y^2=3600 ?

The solution to 36x^2+25y^2=3600 is Ellipse with (h,k)=(0,0),a=10,b=12

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36x^2+25y^2=3600

36 x^{2} + 25 y^{2} = 3600

(h, k) = (0, 0), a = 10, b = 12

Solution steps

36 x^{2} + 25 y^{2} = 3600

Rewrite

36 x^{2} + 25 y^{2} = 3600

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 10, b = 12

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 12, a = 10

2 (x + 4)^{2} + (y + 2)^{2} = 8

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

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

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

4 x^{2} + 24 y^{2} = 100

What is 36x^2+25y^2=3600 ?
The solution to 36x^2+25y^2=3600 is Ellipse with (h,k)=(0,0),a=10,b=12