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Beliebt Geometry >

foki 5x^2+30x+24y=51

Lösung

foki

5 x^{2} + 30 x + 24 y = 51

Lösung

(- 3, \frac{14}{5})

Schritte zur Lösung

Rewrite

5 x^{2} + 30 x + 24 y = 51

in the standard form

4 (- \frac{6}{5}) (y - 4) = (x - (- 3))^{2}

(h, k) = (- 3, 4), p = - \frac{6}{5}

Parabola is symmetric around the y-axis and so the focus lies a distance

p

from the center

(- 3, 4)

along the y-axis

(- 3, 4 + p)

= (- 3, 4 + (- \frac{6}{5}))

Fasse zusammen

(- 3, \frac{14}{5})

Graph

Beliebte Beispiele

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f oc i (y + 5)^{2} = - 16 (x - 3)

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