|x+1/x |=3

Lösung

x + \frac{1}{x} = 3

x = \frac{- 3 - 5}{2} or x = \frac{- 3 + 5}{2} or x = \frac{3 - 5}{2} or x = \frac{3 + 5}{2}

Dezimale

x = - 2.61803 \dots, x = - 0.38196 \dots, x = 0.38196 \dots, x = 2.61803 \dots

Schritte zur Lösung

x + \frac{1}{x} = 3

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

x + \frac{1}{x} = - 3 or x + \frac{1}{x} = 3

x + \frac{1}{x} = - 3 or x + \frac{1}{x} = 3

(x = \frac{- 3 - 5}{2} or x = \frac{- 3 + 5}{2}) or (x = \frac{3 - 5}{2} or x = \frac{3 + 5}{2})

x = \frac{- 3 - 5}{2} or x = \frac{- 3 + 5}{2} or x = \frac{3 - 5}{2} or x = \frac{3 + 5}{2}

∣ x - 9 ∣ + 7 = 9

4 = ∣ q - 6 ∣

∣ 4 - 3 x ∣ = - 10

3 = 8 + ∣ 11 y - 3 ∣

- 93 = 6 ∣ c ∣ - 3