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Beliebt Geometry >

x^2+2y^2=30

Lösung

x^{2} + 2 y^{2} = 30

Lösung

(h, k) = (0, 0), a = 30, b = 15

Schritte zur Lösung

x^{2} + 2 y^{2} = 30

Rewrite

x^{2} + 2 y^{2} = 30

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 30 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 15 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 30, b = 15

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 30, b = 15

Graph

Beliebte Beispiele

4x^2+16y^2+32y=0

4 x^{2} + 16 y^{2} + 32 y = 0

((x-4)^2)/9+((y+6)^2)/(121)=1

\frac{( x - 4 ) ^{2}}{9} + \frac{( y + 6 ) ^{2}}{121} = 1

36x^2+16y^2+180x-24y+90=0

36 x^{2} + 16 y^{2} + 180 x - 24 y + 90 = 0

2.4x^2+4y^2+40x-32y-5=0

2.4 x^{2} + 4 y^{2} + 40 x - 32 y - 5 = 0

25x^2+16y^2+100x-32y-284=0

25 x^{2} + 16 y^{2} + 100 x - 32 y - 284 = 0