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Beliebt Geometry >

foki y^2=5y+7x+3

Lösung

foki

y^{2} = 5 y + 7 x + 3

Lösung

(\frac{3}{7}, \frac{5}{2})

Schritte zur Lösung

Rewrite

y^{2} = 5 y + 7 x + 3

in the standard form

4 \cdot \frac{7}{4} (x - (- \frac{37}{28})) = (y - \frac{5}{2})^{2}

(h, k) = (- \frac{37}{28}, \frac{5}{2}), p = \frac{7}{4}

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

p

from the center

(- \frac{37}{28}, \frac{5}{2})

along the x-axis

(- \frac{37}{28} + p, \frac{5}{2})

= (- \frac{37}{28} + \frac{7}{4}, \frac{5}{2})

Fasse zusammen

(\frac{3}{7}, \frac{5}{2})

Graph

Beliebte Beispiele

foki y=x^2-5x-24

f oc i y = x^{2} - 5 x - 24

f oc i x^{2} - 1

f oc i y = x^{2} - 4 x

foki x^2-10x-12y-23=0

f oc i x^{2} - 10 x - 12 y - 23 = 0

foki y=(9x-2)x3

f oc i y = (9 x - 2) x 3