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Beliebt Geometry >

3x^2+4y^2+6x-8y-5=0

Lösung

3 x^{2} + 4 y^{2} + 6 x - 8 y - 5 = 0

Lösung

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

Schritte zur Lösung

3 x^{2} + 4 y^{2} + 6 x - 8 y - 5 = 0

Rewrite

3 x^{2} + 4 y^{2} + 6 x - 8 y - 5 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

27x^2+36y^2+108x-144y-720=0

27 x^{2} + 36 y^{2} + 108 x - 144 y - 720 = 0

25x^2+9y^2-100x+18y-118=0

25 x^{2} + 9 y^{2} - 100 x + 18 y - 118 = 0

2 x^{2} + 6 y^{2} = 12

5 x^{2} + 9 y^{2} - 45 = 0

- x^{2} - 9 y^{2} - 63 = 0