25x^2+36y^2=900

Lösung

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

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

Schritte zur Lösung

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}

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

so l v e f or x, x^{2} + \frac{π R ( x ) ^{2}}{2} = 200

\frac{( x ^{2} )}{( 29 )} + \frac{( y ^{2} )}{( 24 )} = 1