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Beliebt Geometry >

x^2+2y^2-2x-4y-8=0

Lösung

x^{2} + 2 y^{2} - 2 x - 4 y - 8 = 0

Lösung

(h, k) = (1, 1), a = 11, b = \frac{11}{2}

Schritte zur Lösung

x^{2} + 2 y^{2} - 2 x - 4 y - 8 = 0

Rewrite

x^{2} + 2 y^{2} - 2 x - 4 y - 8 = 0

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{( 11 ) ^{2}} + \frac{( y - 1 ) ^{2}}{( \frac{11}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, 1), a = 11, b = \frac{11}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, 1), a = 11, b = \frac{11}{2}

Graph

Beliebte Beispiele

7 x^{2} + 25 y^{2} = 175

x^2+5y^2=9(2.1)

x^{2} + 5 y^{2} = 9 (2.1)

81x^2+16y^2=1296

81 x^{2} + 16 y^{2} = 1296

16x^2+32x+9y^2+72y+16=0

16 x^{2} + 32 x + 9 y^{2} + 72 y + 16 = 0

2 x^{2} + y^{2} = 10