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Beliebt Geometry >

achse 16x^2+y^2-64x+8y+16=0

Lösung

achse

16 x^{2} + y^{2} - 64 x + 8 y + 16 = 0

Lösung

semi - major axis b = 8, semi - minor axis a = 2

Schritte zur Lösung

16 x^{2} + y^{2} - 64 x + 8 y + 16 = 0

Rewrite

16 x^{2} + y^{2} - 64 x + 8 y + 16 = 0

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{2 ^{2}} + \frac{( y - ( - 4 ) ) ^{2}}{8 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, - 4), a = 2, b = 8

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, - 4), b = 8, a = 2

Graph

Beliebte Beispiele

achse 3x^2+y^2+2x-6y=3

a x i s 3 x^{2} + y^{2} + 2 x - 6 y = 3

achse ((x-8)^2)/(49)+((y+1)^2)/(100)=1

a x i s \frac{( x - 8 ) ^{2}}{49} + \frac{( y + 1 ) ^{2}}{100} = 1

achse (x^2)/(36)+(y^2)/(16)=1

a x i s \frac{x ^{2}}{36} + \frac{y ^{2}}{16} = 1

achse (x^2)/(16)+(y-4)^2=1

a x i s \frac{x ^{2}}{16} + (y - 4)^{2} = 1

achse 49x^2+64y^2=25

a x i s 49 x^{2} + 64 y^{2} = 25