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Beliebt Geometry >

9x^2+y^2-18x-6y+9=0

Lösung

9 x^{2} + y^{2} - 18 x - 6 y + 9 = 0

Lösung

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

Schritte zur Lösung

9 x^{2} + y^{2} - 18 x - 6 y + 9 = 0

Rewrite

9 x^{2} + y^{2} - 18 x - 6 y + 9 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

25 x^{2} + 10 y^{2} = 50

((x-2)^2)/(36)+((y+1)^2)/(25)=1

\frac{( x - 2 ) ^{2}}{36} + \frac{( y + 1 ) ^{2}}{25} = 1

4 = 4 x^{2} + y^{2} + 1

((x+4)^2}{25}+\frac{(y-2)^2)/9 =1

\frac{( x + 4 ) ^{2}}{25} + \frac{( y - 2 ) ^{2}}{9} = 1

9x^2+16y^2+72x=0

9 x^{2} + 16 y^{2} + 72 x = 0