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Beliebt Geometry >

x^2+4y^2-6x+8y-3=0

Lösung

x^{2} + 4 y^{2} - 6 x + 8 y - 3 = 0

Lösung

(h, k) = (3, - 1), a = 4, b = 2

Schritte zur Lösung

x^{2} + 4 y^{2} - 6 x + 8 y - 3 = 0

Rewrite

x^{2} + 4 y^{2} - 6 x + 8 y - 3 = 0

in the form of the standard ellipse equation

\frac{( x - 3 ) ^{2}}{4 ^{2}} + \frac{( y - ( - 1 ) ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (3, - 1), a = 4, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (3, - 1), a = 4, b = 2

Graph

Beliebte Beispiele

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

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

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25 x^{2} + 36 y^{2} + 100 x + 72 y - 764 = 0

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12 x^{2} + 4 y^{2} - 24 x - 4 y + 1 = 0

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36 x^{2} + 16 y^{2} - 180 x + 96 y - 207 = 0

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