|x-3/x |=sqrt(69)

Lösung

x - \frac{3}{x} = 69

x = \frac{- 69 - 9}{2} or x = \frac{69 - 9}{2} or x = \frac{- 69 + 9}{2} or x = \frac{69 + 9}{2}

Dezimale

x = - 8.65331 \dots, x = - 0.34668 \dots, x = 0.34668 \dots, x = 8.65331 \dots

Schritte zur Lösung

x - \frac{3}{x} = 69

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

x - \frac{3}{x} = - 69 or x - \frac{3}{x} = 69

x - \frac{3}{x} = - 69 or x - \frac{3}{x} = 69

(x = \frac{- 69 - 9}{2} or x = \frac{- 69 + 9}{2}) or (x = \frac{69 - 9}{2} or x = \frac{69 + 9}{2})

x = \frac{- 69 - 9}{2} or x = \frac{69 - 9}{2} or x = \frac{- 69 + 9}{2} or x = \frac{69 + 9}{2}

(x - 3) (x + 4) \geq 0

s im pl i f y a^{- 5}

5 x^{2} - 20 x + 14 = 0

f a c t or 75 x^{2} y^{3} + 60 x y^{3}

8 x - 2 x + 4 = 2 x