|5x^2-3|=2

Lösung

5 x^{2} - 3 = 2

x = - 1 or x = - \frac{1}{5} or x = \frac{1}{5} or x = 1

Dezimale

x = - 1, x = - 0.4472135955, x = 0.4472135955, x = 1

Schritte zur Lösung

5 x^{2} - 3 = 2

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

5 x^{2} - 3 = - 2 or 5 x^{2} - 3 = 2

5 x^{2} - 3 = - 2 or 5 x^{2} - 3 = 2

(x = - \frac{1}{5} or x = \frac{1}{5}) or (x = - 1 or x = 1)

x = - 1 or x = - \frac{1}{5} or x = \frac{1}{5} or x = 1

3 x^{2} - 4 x^{2} - 1 + x - 1 = 0

∣ x - 2 ∣ + ∣ x - 5 ∣ = 3

∣ x - 1 ∣ - ∣ x ∣ + ∣ x + 1 ∣ = 2

x^{2} - 2 ∣ x ∣ - 2 = 1

7 ∣ x - 2 ∣ - ∣ x - 7 ∣ = 5