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Beliebt Geometry >

100x^2+4y^2+1200x-32y+3264=0

Lösung

100 x^{2} + 4 y^{2} + 1200 x - 32 y + 3264 = 0

Lösung

(h, k) = (- 6, 4), a = 2, b = 10

Schritte zur Lösung

100 x^{2} + 4 y^{2} + 1200 x - 32 y + 3264 = 0

Rewrite

100 x^{2} + 4 y^{2} + 1200 x - 32 y + 3264 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 6 ) ) ^{2}}{2 ^{2}} + \frac{( y - 4 ) ^{2}}{1 0 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 6, 4), a = 2, b = 10

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 6, 4), b = 10, a = 2

Graph

Beliebte Beispiele

16x^2+15y^2-64x-90y-41=0

16 x^{2} + 15 y^{2} - 64 x - 90 y - 41 = 0

25y^2+9x^2-108x-200y+499=0

25 y^{2} + 9 x^{2} - 108 x - 200 y + 499 = 0

9x^2+4y^2-36x+8y+31=0

9 x^{2} + 4 y^{2} - 36 x + 8 y + 31 = 0

9x^2+25y^2+90x=0

9 x^{2} + 25 y^{2} + 90 x = 0

x^{2} + 2 y^{2} = 11