What is 25x^2+36y^2=900 ?

The solution to 25x^2+36y^2=900 is Ellipse with (h,k)=(0,0),a=6,b=5

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25x^2+36y^2=900

25 x^{2} + 36 y^{2} = 900

(h, k) = (0, 0), a = 6, b = 5

Solution steps

25 x^{2} + 36 y^{2} = 900

Rewrite

25 x^{2} + 36 y^{2} = 900

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{6 ^{2}} + \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 6, b = 5

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 6, b = 5

(\frac{2 x ^{2}}{25}) + (\frac{( y - 3 ) ^{2}}{49}) = 1

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

9 x^{2} + 4 y^{2} - 18 x + 24 y = 0

27 x^{2} + 48 y^{2} = 192 y + 54 x + 213

x, x^{2} + \frac{π R ( x ) ^{2}}{2} = 200

What is 25x^2+36y^2=900 ?
The solution to 25x^2+36y^2=900 is Ellipse with (h,k)=(0,0),a=6,b=5