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Beliebt Geometry >

(x^2)/2+(y^2)/(16)=1

Lösung

\frac{x ^{2}}{2} + \frac{y ^{2}}{16} = 1

Lösung

(h, k) = (0, 0), a = 2, b = 4

Schritte zur Lösung

\frac{x ^{2}}{2} + \frac{y ^{2}}{16} = 1

Rewrite

\frac{x ^{2}}{2} + \frac{y ^{2}}{16} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 2 ) ^{2}} + \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 4, a = 2

Graph

Beliebte Beispiele

- x^{2} - 2 y^{2} = - 40

9x^2+16y^2-36x-64y+(-44)=0

9 x^{2} + 16 y^{2} - 36 x - 64 y + (- 44) = 0

((x-4)/6)^2+((y+2)/(sqrt(6)))^2=1

(\frac{x - 4}{6})^{2} + (\frac{y + 2}{6})^{2} = 1

4 x^{2} + 9 y^{2} = 11

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

\frac{( x - 4 ) ^{2}}{9} + \frac{( y + 2 ) ^{2}}{4} = 1