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Beliebt Geometry >

4x^2+y^2-32x+16y+124=0

Lösung

4 x^{2} + y^{2} - 32 x + 16 y + 124 = 0

Lösung

(h, k) = (4, - 8), a = 1, b = 2

Schritte zur Lösung

4 x^{2} + y^{2} - 32 x + 16 y + 124 = 0

Rewrite

4 x^{2} + y^{2} - 32 x + 16 y + 124 = 0

in the form of the standard ellipse equation

\frac{( x - 4 ) ^{2}}{1 ^{2}} + \frac{( y - ( - 8 ) ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (4, - 8), a = 1, b = 2

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (4, - 8), b = 2, a = 1

Graph

Beliebte Beispiele

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16x^2+9y^2-128x-18y+121=0