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Beliebt Geometry >

8x^2+9y^2+24x+12y+10=0

Lösung

8 x^{2} + 9 y^{2} + 24 x + 12 y + 10 = 0

Lösung

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

Schritte zur Lösung

8 x^{2} + 9 y^{2} + 24 x + 12 y + 10 = 0

Rewrite

8 x^{2} + 9 y^{2} + 24 x + 12 y + 10 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

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