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Beliebt Geometry >

2x^2+y^2-10=0

Lösung

2 x^{2} + y^{2} - 10 = 0

Lösung

(h, k) = (0, 0), a = 5, b = 10

Schritte zur Lösung

2 x^{2} + y^{2} - 10 = 0

Rewrite

2 x^{2} + y^{2} - 10 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 5 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 10 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5, b = 10

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 10, a = 5

Graph

Beliebte Beispiele

4x^2+2y^2-7x+y-5=0

4 x^{2} + 2 y^{2} - 7 x + y - 5 = 0

225x^2+289y^2=65.025

225 x^{2} + 289 y^{2} = 65.025

(x^2)/4+(3x)/2+9y^2-18y+9=0

\frac{x ^{2}}{4} + \frac{3 x}{2} + 9 y^{2} - 18 y + 9 = 0

(x^2)/4+(z^2)/(16)=4

\frac{x ^{2}}{4} + \frac{z ^{2}}{16} = 4

((x-2)^2)/(100)+(y^2)/(36)=1

\frac{( x - 2 ) ^{2}}{100} + \frac{y ^{2}}{36} = 1