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Beliebt Geometry >

achse 9x^2+25y^2-36x-50y+60=0

Lösung

achse

9 x^{2} + 25 y^{2} - 36 x - 50 y + 60 = 0

Lösung

semi - major axis a = \frac{1}{3}, semi - minor axis b = \frac{1}{5}

Schritte zur Lösung

9 x^{2} + 25 y^{2} - 36 x - 50 y + 60 = 0

Rewrite

9 x^{2} + 25 y^{2} - 36 x - 50 y + 60 = 0

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{( \frac{1}{3} ) ^{2}} + \frac{( y - 1 ) ^{2}}{( \frac{1}{5} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, 1), a = \frac{1}{3}, b = \frac{1}{5}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, 1), a = \frac{1}{3}, b = \frac{1}{5}

Graph

Beliebte Beispiele

achse 25x^2+4y^2=100

a x i s 25 x^{2} + 4 y^{2} = 100

achse 36x^2+288x+64y^2-256y=1472

a x i s 36 x^{2} + 288 x + 64 y^{2} - 256 y = 1472

achse (x^2)/(100)+(y^2)/(36)=1

a x i s \frac{x ^{2}}{100} + \frac{y ^{2}}{36} = 1

achse 9x^2+4y^2-18x+16y-11=0

a x i s 9 x^{2} + 4 y^{2} - 18 x + 16 y - 11 = 0

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

a x i s \frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 1