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Beliebt Geometry >

3x^2+y^2+18x-2y-8=0

Lösung

3 x^{2} + y^{2} + 18 x - 2 y - 8 = 0

Lösung

(h, k) = (- 3, 1), a = 23, b = 6

Schritte zur Lösung

3 x^{2} + y^{2} + 18 x - 2 y - 8 = 0

Rewrite

3 x^{2} + y^{2} + 18 x - 2 y - 8 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 3, 1), a = 23, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 3, 1), b = 6, a = 23

Graph

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