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Beliebt Geometry >

10-(x^2)/2-y^2=x^2+4y^2

Lösung

10 - \frac{x ^{2}}{2} - y^{2} = x^{2} + 4 y^{2}

Lösung

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

Schritte zur Lösung

10 - \frac{x ^{2}}{2} - y^{2} = x^{2} + 4 y^{2}

Rewrite

10 - \frac{x ^{2}}{2} - y^{2} - x^{2} - 4 y^{2} = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

((x+5)^2)/4+((y+5)^2)/(25)=1

\frac{( x + 5 ) ^{2}}{4} + \frac{( y + 5 ) ^{2}}{25} = 1

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((x+1)^2}{36}+\frac{(y+2)^2)/9 =1

\frac{( x + 1 ) ^{2}}{36} + \frac{( y + 2 ) ^{2}}{9} = 1