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Beliebt Geometry >

2x^2-8x+y^2-10y=60

Lösung

2 x^{2} - 8 x + y^{2} - 10 y = 60

Lösung

(h, k) = (2, 5), a = \frac{93}{2}, b = 93

Schritte zur Lösung

2 x^{2} - 8 x + y^{2} - 10 y = 60

Rewrite

2 x^{2} - 8 x + y^{2} - 10 y = 60

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{( \frac{93}{2} ) ^{2}} + \frac{( y - 5 ) ^{2}}{( 93 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, 5), a = \frac{93}{2}, b = 93

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, 5), b = 93, a = \frac{93}{2}

Graph

Beliebte Beispiele

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16x^2-64x+25y^2+150y+189=0

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