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Beliebt Geometry >

1/2 (3x^2+y^2)-sqrt(2)(x-y)=0

Lösung

\frac{1}{2} (3 x^{2} + y^{2}) - 2 (x - y) = 0

Lösung

(h, k) = (\frac{2}{3}, - 2), a = \frac{2 2}{3}, b = \frac{2 2}{3}

Schritte zur Lösung

\frac{1}{2} (3 x^{2} + y^{2}) - 2 (x - y) = 0

Rewrite

\frac{1}{2} (3 x^{2} + y^{2}) - 2 (x - y) = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (\frac{2}{3}, - 2), a = \frac{2 2}{3}, b = \frac{2 2}{3}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (\frac{2}{3}, - 2), b = \frac{2 2}{3}, a = \frac{2 2}{3}

Graph

Beliebte Beispiele

((x+2)^2)/4+((y-2)^2)/(36)=1

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9 x^{2} + 25 y^{2} + 18 x + 50 y - 191 = 0

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