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Beliebt Geometry >

achse x^2+4y^2=25

Lösung

achse

x^{2} + 4 y^{2} = 25

Lösung

semi - major axis a = 5, semi - minor axis b = \frac{5}{2}

Schritte zur Lösung

x^{2} + 4 y^{2} = 25

Rewrite

x^{2} + 4 y^{2} = 25

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

achse 4x^2+9y^2-8x-36y+4=0

a x i s 4 x^{2} + 9 y^{2} - 8 x - 36 y + 4 = 0

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a x i s (x + 1)^{2} + \frac{1}{4} y^{2} = 1

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a x i s 3 x^{2} + 4 y^{2} + 27 x - 16 y + 48 = 0

achse x^2+y^2+10x-8y=-32

a x i s x^{2} + y^{2} + 10 x - 8 y = - 32

achse ((x+5)^2)/9+((y+1)^2)/4 =1

a x i s \frac{( x + 5 ) ^{2}}{9} + \frac{( y + 1 ) ^{2}}{4} = 1