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Beliebt Geometry >

x^2+5y^2-6x+20y=-24

Lösung

x^{2} + 5 y^{2} - 6 x + 20 y = - 24

Lösung

(h, k) = (3, - 2), a = 5, b = 1

Schritte zur Lösung

x^{2} + 5 y^{2} - 6 x + 20 y = - 24

Rewrite

x^{2} + 5 y^{2} - 6 x + 20 y = - 24

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (3, - 2), a = 5, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (3, - 2), a = 5, b = 1

Graph

Beliebte Beispiele

2 y - xx - yy > 0

25x^2+9y^2-100x-54y-44=0

25 x^{2} + 9 y^{2} - 100 x - 54 y - 44 = 0

180x^2+196y^2=2205

180 x^{2} + 196 y^{2} = 2205

4 x^{2} + 3 y^{2} = 1

((x+0)^2)/(225/25)+((y-1)^2)/(225/9)=1

\frac{( x + 0 ) ^{2}}{\frac{225}{25}} + \frac{( y - 1 ) ^{2}}{\frac{225}{9}} = 1