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Beliebt Geometry >

leitkurve y=(x^4-1)/(x^2-1)

Lösung

leitkurve

y = \frac{x ^{4} - 1}{x ^{2} - 1}

Lösung

y = \frac{3}{4}

Schritte zur Lösung

Rewrite

y = \frac{x ^{4} - 1}{x ^{2} - 1}

in the standard form

4 \cdot \frac{1}{4} (y - 1) = (x - 0)^{2}

(h, k) = (0, 1), p = \frac{1}{4}

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, 1)

y-coordinate

y = 1 - p

y = 1 - \frac{1}{4}

Fasse zusammen

y = \frac{3}{4}

Graph

Beliebte Beispiele

leitkurve (x-2)(x+1)

d i rec t r i x (x - 2) (x + 1)

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

d i rec t r i x 5 x^{2} + 30 x + 24 y = 51

leitkurve (-3x^2-2x+6)/5

d i rec t r i x \frac{- 3 x ^{2} - 2 x + 6}{5}

leitkurve 3x^2-x-2

d i rec t r i x 3 x^{2} - x - 2

leitkurve y=-3x^2-12x-9

d i rec t r i x y = - 3 x^{2} - 12 x - 9