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Beliebt Geometry >

achse x^2+4y^2-6x+8y+9=0

Lösung

achse

x^{2} + 4 y^{2} - 6 x + 8 y + 9 = 0

Lösung

semi - major axis a = 2, semi - minor axis b = 1

Schritte zur Lösung

x^{2} + 4 y^{2} - 6 x + 8 y + 9 = 0

Rewrite

x^{2} + 4 y^{2} - 6 x + 8 y + 9 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

achse 2x^2+y^2=50

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

achse 4x^2+2y^2+2x-8y+7=0

a x i s 4 x^{2} + 2 y^{2} + 2 x - 8 y + 7 = 0

achse ((x+4)^2)/9+((y-6)^2)/(25)=1

a x i s \frac{( x + 4 ) ^{2}}{9} + \frac{( y - 6 ) ^{2}}{25} = 1

achse 6.25x^2+16y^2-12.5x+64y-29.75=0

a x i s 6.25 x^{2} + 16 y^{2} - 12.5 x + 64 y - 29.75 = 0

achse 4x^2+49y^2=196

a x i s 4 x^{2} + 49 y^{2} = 196