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Beliebt Geometry >

5x^2+3y^2-40x-36y+158=0

Lösung

5 x^{2} + 3 y^{2} - 40 x - 36 y + 158 = 0

Lösung

(h, k) = (4, 6), a = 6, b = 10

Schritte zur Lösung

5 x^{2} + 3 y^{2} - 40 x - 36 y + 158 = 0

Rewrite

5 x^{2} + 3 y^{2} - 40 x - 36 y + 158 = 0

in the form of the standard ellipse equation

\frac{( x - 4 ) ^{2}}{( 6 ) ^{2}} + \frac{( y - 6 ) ^{2}}{( 10 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (4, 6), a = 6, b = 10

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (4, 6), b = 10, a = 6

Graph

Beliebte Beispiele

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16 x^{2} + 9 y^{2} - 100 = 0

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4x^2+9y^2+16x-54y+61=0

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