|2x-x^2-3|=1

Lösung

2 x - x^{2} - 3 = 1

keine L \overset{o}{¨} sung

Schritte zur Lösung

2 x - x^{2} - 3 = 1

Wende Absoluteregel an: Wenn

∣ u ∣ = a, a > 0

dann

u = a

u = - a

2 x - x^{2} - 3 = - 1 or 2 x - x^{2} - 3 = 1

2 x - x^{2} - 3 = - 1 or 2 x - x^{2} - 3 = 1

keine L \overset{o}{¨} sung or keine L \overset{o}{¨} sung

Keine L \overset{o}{¨} sung f \overset{u}{¨} r x \in R

(x - 1) x^{2} - 4 x + 3 + 2 x^{2} + 3 x - 5 = 0

∣ 2 x - 1 ∣ = ∣ x + 3 ∣

- 2 x^{2} - 8 x = 10

∣ x - 3 ∣ = ∣ 2 x - 1 ∣

∣ 2 x - 3 ∣ + ∣ 2 x + 1 ∣ + ∣ 2 x + 5 ∣ = 12