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Beliebt Geometry >

x^2-2x+3y^2-2y-5=0

Lösung

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

Lösung

(h, k) = (1, \frac{1}{3}), a = \frac{19}{3}, b = \frac{19}{3}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{( \frac{19}{3} ) ^{2}} + \frac{( y - \frac{1}{3} ) ^{2}}{( \frac{19}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, \frac{1}{3}), a = \frac{19}{3}, b = \frac{19}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, \frac{1}{3}), a = \frac{19}{3}, b = \frac{19}{3}

Graph

Beliebte Beispiele

2 y - x^{2} - y^{2} \geq 0

25x^2+4y^2-8x+200y+304=0

25 x^{2} + 4 y^{2} - 8 x + 200 y + 304 = 0

2 x^{2} + y^{2} + 2 y = 1

(x^2}{25}+\frac{(y-2)^2)/4 =1

\frac{x ^{2}}{25} + \frac{( y - 2 ) ^{2}}{4} = 1

((x+7)^2}{16}+\frac{(y+5)^2)/4 =1

\frac{( x + 7 ) ^{2}}{16} + \frac{( y + 5 ) ^{2}}{4} = 1