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Beliebt Geometry >

x^2+4y^2-25=0

Lösung

x^{2} + 4 y^{2} - 25 = 0

Lösung

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

Schritte zur Lösung

x^{2} + 4 y^{2} - 25 = 0

Rewrite

x^{2} + 4 y^{2} - 25 = 0

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

4x^2+y^2+2y-35=0

4 x^{2} + y^{2} + 2 y - 35 = 0

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

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((x+2)^2)/9+((y-3)^2)/(16)=1

\frac{( x + 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{16} = 1