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Beliebt Geometry >

9x^2+4y^2-36x-8y+4=0

Lösung

9 x^{2} + 4 y^{2} - 36 x - 8 y + 4 = 0

Lösung

(h, k) = (2, 1), a = 2, b = 3

Schritte zur Lösung

9 x^{2} + 4 y^{2} - 36 x - 8 y + 4 = 0

Rewrite

9 x^{2} + 4 y^{2} - 36 x - 8 y + 4 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, 1), a = 2, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, 1), b = 3, a = 2

Graph

Beliebte Beispiele

x^2+3y^2+18y+18=0

x^{2} + 3 y^{2} + 18 y + 18 = 0

((x-3)^2)/9+((y+1)^2)/4 =1

\frac{( x - 3 ) ^{2}}{9} + \frac{( y + 1 ) ^{2}}{4} = 1

((x-1)^2)/9+((y+3)^2)/(25)=1

\frac{( x - 1 ) ^{2}}{9} + \frac{( y + 3 ) ^{2}}{25} = 1

(x^2)/(81)+(y^2)/(36)=1

\frac{x ^{2}}{81} + \frac{y ^{2}}{36} = 1

x^2+25y^2-200y+375=0

x^{2} + 25 y^{2} - 200 y + 375 = 0