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Beliebt Geometry >

180x^2+196y^2=2205

Lösung

180 x^{2} + 196 y^{2} = 2205

Lösung

(h, k) = (0, 0), a = \frac{7}{2}, b = \frac{3 5}{2}

Schritte zur Lösung

180 x^{2} + 196 y^{2} = 2205

Rewrite

180 x^{2} + 196 y^{2} = 2205

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{7}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{3 5}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{7}{2}, b = \frac{3 5}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{7}{2}, b = \frac{3 5}{2}

Graph

Beliebte Beispiele

4 x^{2} + 3 y^{2} = 1

((x+0)^2)/(225/25)+((y-1)^2)/(225/9)=1

\frac{( x + 0 ) ^{2}}{\frac{225}{25}} + \frac{( y - 1 ) ^{2}}{\frac{225}{9}} = 1

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9 x^{2} - 72 x + y^{2} + 10 y + 160 = 0

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\frac{x ^{2}}{3} + \frac{y ^{2}}{6} = 1

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