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Beliebt Geometry >

4x^2+y^2-40x+4y+68=0

Lösung

4 x^{2} + y^{2} - 40 x + 4 y + 68 = 0

Lösung

(h, k) = (5, - 2), a = 3, b = 6

Schritte zur Lösung

4 x^{2} + y^{2} - 40 x + 4 y + 68 = 0

Rewrite

4 x^{2} + y^{2} - 40 x + 4 y + 68 = 0

in the form of the standard ellipse equation

\frac{( x - 5 ) ^{2}}{3 ^{2}} + \frac{( y - ( - 2 ) ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (5, - 2), a = 3, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (5, - 2), b = 6, a = 3

Graph

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