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Beliebt Geometry >

4x^2+y^2+8x-10y+25=0

Lösung

4 x^{2} + y^{2} + 8 x - 10 y + 25 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} + y^{2} + 8 x - 10 y + 25 = 0

Rewrite

4 x^{2} + y^{2} + 8 x - 10 y + 25 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

9x^{(2)}+25y^{(2)}-36x+50y-839=0

9 x^{(2)} + 25 y^{(2)} - 36 x + 50 y - 839 = 0

\frac{x ^{2}}{4} + z^{2} = 1

16x^2-96x+4y^2=-80

16 x^{2} - 96 x + 4 y^{2} = - 80

100x^2+36y^2=225

100 x^{2} + 36 y^{2} = 225

x^2-10x+5y^2+30y=-50

x^{2} - 10 x + 5 y^{2} + 30 y = - 50