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Beliebt Geometry >

achse 9x^2+4y^2+18x-8y-131=0

Lösung

achse

9 x^{2} + 4 y^{2} + 18 x - 8 y - 131 = 0

Lösung

semi - major axis b = 6, semi - minor axis a = 4

Schritte zur Lösung

9 x^{2} + 4 y^{2} + 18 x - 8 y - 131 = 0

Rewrite

9 x^{2} + 4 y^{2} + 18 x - 8 y - 131 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 1 ) ) ^{2}}{4 ^{2}} + \frac{( y - 1 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 1, 1), a = 4, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 1, 1), b = 6, a = 4

Graph

Beliebte Beispiele

achse ((x-1)^2)/6+((y-3)^2)/2 =1

a x i s \frac{( x - 1 ) ^{2}}{6} + \frac{( y - 3 ) ^{2}}{2} = 1

achse (x^2)/(64)+(y^2)/(100)=1

a x i s \frac{x ^{2}}{64} + \frac{y ^{2}}{100} = 1

achse (x^2)/9+(y^2)/(16)>1

a x i s \frac{x ^{2}}{9} + \frac{y ^{2}}{16} > 1

achse (x^2)/(16)+(y^2)/(12)=1

a x i s \frac{x ^{2}}{16} + \frac{y ^{2}}{12} = 1

achse 9x^2+25y^2+18x+150y+9=0

a x i s 9 x^{2} + 25 y^{2} + 18 x + 150 y + 9 = 0