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Beliebt Geometry >

leitkurve 5x^2+7y=3

Lösung

leitkurve

5 x^{2} + 7 y = 3

Lösung

y = \frac{109}{140}

Schritte zur Lösung

Rewrite

5 x^{2} + 7 y = 3

in the standard form:

4 (- \frac{7}{20}) (y - \frac{3}{7}) = (x - 0)^{2}

(h, k) = (0, \frac{3}{7}), p = - \frac{7}{20}

Parabola is symmetric around the y-axis and so the directrix is a line parallel to the x-axis, a distance

- p

from the center

(0, \frac{3}{7})

y-coordinate

y = \frac{3}{7} - p

y = \frac{3}{7} - (- \frac{7}{20})

Fasse zusammen

y = \frac{109}{140}

Graph

Beliebte Beispiele

leitkurve x=4y^2+12y+9

d i rec t r i x x = 4 y^{2} + 12 y + 9

leitkurve 7x^2-5x+9

d i rec t r i x 7 x^{2} - 5 x + 9

leitkurve-8x^2+4x

d i rec t r i x - 8 x^{2} + 4 x

leitkurve 3y+4x=-2x^2-14

d i rec t r i x 3 y + 4 x = - 2 x^{2} - 14

leitkurve-x^2-6x-13

d i rec t r i x - x^{2} - 6 x - 13