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Beliebt Geometry >

3x^2+y^2+2x-6y-3=0

Lösung

3 x^{2} + y^{2} + 2 x - 6 y - 3 = 0

Lösung

(h, k) = (- \frac{1}{3}, 3), a = \frac{37}{3}, b = \frac{37}{3}

Schritte zur Lösung

3 x^{2} + y^{2} + 2 x - 6 y - 3 = 0

Rewrite

3 x^{2} + y^{2} + 2 x - 6 y - 3 = 0

in the form of the standard ellipse equation

\frac{( x - ( - \frac{1}{3} ) ) ^{2}}{( \frac{37}{3} ) ^{2}} + \frac{( y - 3 ) ^{2}}{( \frac{37}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- \frac{1}{3}, 3), a = \frac{37}{3}, b = \frac{37}{3}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- \frac{1}{3}, 3), b = \frac{37}{3}, a = \frac{37}{3}

Graph

Beliebte Beispiele

25x^2+4y^2-50x+16y-59=0

25 x^{2} + 4 y^{2} - 50 x + 16 y - 59 = 0

5 x^{2} + 7 y^{2} = 35

((x^2)/a)+((y^2)/b)=1

(\frac{x ^{2}}{a}) + (\frac{y ^{2}}{b}) = 1

((x-10)^2)/(25)+((y-4)^2)/(36)=1

\frac{( x - 10 ) ^{2}}{25} + \frac{( y - 4 ) ^{2}}{36} = 1

3x^2+2y^2-6x+4y-2=0

3 x^{2} + 2 y^{2} - 6 x + 4 y - 2 = 0