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Beliebt Geometry >

0.2x^2+2y^2+4x-8y-12=0

Lösung

0.2 x^{2} + 2 y^{2} + 4 x - 8 y - 12 = 0

Lösung

(h, k) = (- 10, 2), a = 102, b = 25

Schritte zur Lösung

0.2 x^{2} + 2 y^{2} + 4 x - 8 y - 12 = 0

Rewrite

0.2 x^{2} + 2 y^{2} + 4 x - 8 y - 12 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 10 ) ) ^{2}}{( 10 2 ) ^{2}} + \frac{( y - 2 ) ^{2}}{( 2 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 10, 2), a = 102, b = 25

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 10, 2), a = 102, b = 25

Graph

Beliebte Beispiele

5 x^{2} + 4 y^{2} = 1

x^{2} + 4 y^{2} = e^{2}

x^{2} + 4 y^{2} = e^{1}

5x^2+9y^2-30x=0

5 x^{2} + 9 y^{2} - 30 x = 0

((x+5)^2)/(97)+((y+2)^2)/(36)=1

\frac{( x + 5 ) ^{2}}{97} + \frac{( y + 2 ) ^{2}}{36} = 1