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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (- 3, 0), a = 3, b = 5

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - ( - 3 ) ) ^{2}}{3 ^{2}} + \frac{( y - 0 ) ^{2}}{( 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 3, 0), a = 3, b = 5

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 3, 0), a = 3, b = 5

Graph

Beliebte Beispiele

4 x^{2} + 7 y^{2} = 28

3x^2+2y^2-6x-12y+15=0

3 x^{2} + 2 y^{2} - 6 x - 12 y + 15 = 0

9 y^{2} + x^{2} = 9

4x^2+7y^2-140=0

4 x^{2} + 7 y^{2} - 140 = 0

x^2+5y^2-30y+25=0

x^{2} + 5 y^{2} - 30 y + 25 = 0