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Beliebt Geometry >

center x^2-8x+8y^2+12y=0

Lösung

center

x^{2} - 8 x + 8 y^{2} + 12 y = 0

Lösung

(4, - \frac{3}{4})

Schritte zur Lösung

x^{2} - 8 x + 8 y^{2} + 12 y = 0

Rewrite

x^{2} - 8 x + 8 y^{2} + 12 y = 0

in the form of the standard ellipse equation

\frac{( x - 4 ) ^{2}}{( \frac{41}{2} ) ^{2}} + \frac{( y - ( - \frac{3}{4} ) ) ^{2}}{( \frac{41}{4} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (4, - \frac{3}{4}), a = \frac{41}{2}, b = \frac{41}{4}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (4, - \frac{3}{4}), a = \frac{41}{2}, b = \frac{41}{4}

And the center is:

(4, - \frac{3}{4})

Graph

Beliebte Beispiele

center x^2+4y^2-6x+20y-2=0

ce n t er x^{2} + 4 y^{2} - 6 x + 20 y - 2 = 0

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ce n t er x^{2} + y^{2} + 10 y = 0

center 36x^2+9y^2+36y-288=0

ce n t er 36 x^{2} + 9 y^{2} + 36 y - 288 = 0

center ((x-3)^2)/(25)+((y+2)^2)/(16)=1

ce n t er \frac{( x - 3 ) ^{2}}{25} + \frac{( y + 2 ) ^{2}}{16} = 1

exzentrizität 41x^2+16y^2+246x-192y+289=0

ecce n t r i c i t y 41 x^{2} + 16 y^{2} + 246 x - 192 y + 289 = 0