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Beliebt Geometry >

achse 9x^2+4y^2+54x-8y+49=0

Lösung

achse

9 x^{2} + 4 y^{2} + 54 x - 8 y + 49 = 0

Lösung

semi - major axis b = 3, semi - minor axis a = 2

Schritte zur Lösung

9 x^{2} + 4 y^{2} + 54 x - 8 y + 49 = 0

Rewrite

9 x^{2} + 4 y^{2} + 54 x - 8 y + 49 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

achse x^2+2y^2-2x+8y+5=0

a x i s x^{2} + 2 y^{2} - 2 x + 8 y + 5 = 0

achse 16x^2+9y^2-128x-18y+121=0

a x i s 16 x^{2} + 9 y^{2} - 128 x - 18 y + 121 = 0

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

a x i s 4 x^{2} + y^{2} + 16 x + 4 y + 4 = 0

achse 5x^2+2y^2=50

a x i s 5 x^{2} + 2 y^{2} = 50

achse ((x-2)^2)/9+((y-3)^2)/(16)=1

a x i s \frac{( x - 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{16} = 1