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Beliebt Geometry >

x^2+4y^2+6x-8y+9=0

Lösung

x^{2} + 4 y^{2} + 6 x - 8 y + 9 = 0

Lösung

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

Schritte zur Lösung

x^{2} + 4 y^{2} + 6 x - 8 y + 9 = 0

Rewrite

x^{2} + 4 y^{2} + 6 x - 8 y + 9 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

x^{2} = 4 y - 2 y^{2}

4 x^{2} + y^{2} = 36

x^{2} + y^{2} - y = 0

9x^2-18x+4y^2=27

9 x^{2} - 18 x + 4 y^{2} = 27

25x^2+4y^2-250x-16y+541=0

25 x^{2} + 4 y^{2} - 250 x - 16 y + 541 = 0