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Beliebt Geometry >

3x^2+5y^2-12x+30y=-42

Lösung

3 x^{2} + 5 y^{2} - 12 x + 30 y = - 42

Lösung

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

Schritte zur Lösung

3 x^{2} + 5 y^{2} - 12 x + 30 y = - 42

Rewrite

3 x^{2} + 5 y^{2} - 12 x + 30 y = - 42

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

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