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Beliebt Algebra >

|x^2+x-5|=|4x-1|

Lösung

x^{2} + x - 5 = ∣ 4 x - 1 ∣

Lösung

x = - 6 or x = - 1 or x = 1 or x = 4

Schritte zur Lösung

x^{2} + x - 5 = ∣ 4 x - 1 ∣

Finde positive und negative Intervalle

x \leq \frac{- 21 - 1}{2}, \frac{- 21 - 1}{2} < x < \frac{1}{4}, \frac{1}{4} \leq x < \frac{21 - 1}{2}, x \geq \frac{21 - 1}{2}

Löse die Ungleichung für jedes Intervall

x = - 6 or x = - 1 or x = 1 or x = 4

Graph

Beliebte Beispiele

∣ x - 2 ∣ = x^{2}

(x^2+x+2)+|x+1|=5

(x^{2} + x + 2) + ∣ x + 1 ∣ = 5

|x-1|-|x-2|+|x-3|=5x-1

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

|((3x+4))/3 |=7

\frac{( 3 x + 4 )}{3} = 7

∣ x - 4 ∣ + ∣ x - 7 ∣ = 11