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Beliebt Algebra >

solvefor x,4x^3-36x^2-84x=0

Lösung

löse nach

x, 4 x^{3} - 36 x^{2} - 84 x = 0

Lösung

x = 0, x = \frac{9 + 165}{2}, x = \frac{9 - 165}{2}

+1

Dezimale

x = 0, x = 10.92261 \dots, x = - 1.92261 \dots

Schritte zur Lösung

4 x^{3} - 36 x^{2} - 84 x = 0

Faktorisiere

4 x^{3} - 36 x^{2} - 84 x : 4 x (x^{2} - 9 x - 21)

4 x (x^{2} - 9 x - 21) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} - 9 x - 21 = 0

Löse

x^{2} - 9 x - 21 = 0 : x = \frac{9 + 165}{2}, x = \frac{9 - 165}{2}

Die Lösungen sind

x = 0, x = \frac{9 + 165}{2}, x = \frac{9 - 165}{2}

Graph

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