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Beliebt Geometry >

achse 4x^2+25y^2+24x+250y=-561

Lösung

achse

4 x^{2} + 25 y^{2} + 24 x + 250 y = - 561

Lösung

semi - major axis a = 5, semi - minor axis b = 2

Schritte zur Lösung

4 x^{2} + 25 y^{2} + 24 x + 250 y = - 561

Rewrite

4 x^{2} + 25 y^{2} + 24 x + 250 y = - 561

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 3, - 5), a = 5, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 3, - 5), a = 5, b = 2

Graph

Beliebte Beispiele

achse 16x^2+25y^2+224x+250y-191=0

a x i s 16 x^{2} + 25 y^{2} + 224 x + 250 y - 191 = 0

achse (x^2)/4+(y^2)/(49)=1

a x i s \frac{x ^{2}}{4} + \frac{y ^{2}}{49} = 1

achse (x^2)/9+(y^2)/(64)=1

a x i s \frac{x ^{2}}{9} + \frac{y ^{2}}{64} = 1

achse (x^2)/(a^2)+(y^2)/(b^2)=1

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

achse 36x^2+9y^2-324=0

a x i s 36 x^{2} + 9 y^{2} - 324 = 0