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Beliebt Geometry >

x^2+9y^2+6x-90y+225=0

Lösung

x^{2} + 9 y^{2} + 6 x - 90 y + 225 = 0

Lösung

(h, k) = (- 3, 5), a = 3, b = 1

Schritte zur Lösung

x^{2} + 9 y^{2} + 6 x - 90 y + 225 = 0

Rewrite

x^{2} + 9 y^{2} + 6 x - 90 y + 225 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 3, 5), a = 3, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 3, 5), a = 3, b = 1

Graph

Beliebte Beispiele

f oc i x^{2} = - 4 y

x^2+y^2+10x+12y+25=0

x^{2} + y^{2} + 10 x + 12 y + 25 = 0

scheitelpunkte x^2=16y

v er t i ces x^{2} = 16 y

leitkurve y^2=-10x

d i rec t r i x y^{2} = - 10 x

exzentrizität (x^2)/(25)+(y^2)/(25)=1

ecce n t r i c i t y \frac{x ^{2}}{25} + \frac{y ^{2}}{25} = 1