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Beliebt Algebra >

x^3-6x^2+16=0

Lösung

x^{3} - 6 x^{2} + 16 = 0

Lösung

x = 2, x = 2 (1 + 3), x = 2 (1 - 3)

+1

Dezimale

x = 2, x = 5.46410 \dots, x = - 1.46410 \dots

Schritte zur Lösung

x^{3} - 6 x^{2} + 16 = 0

Faktorisiere

x^{3} - 6 x^{2} + 16 : (x - 2) (x^{2} - 4 x - 8)

(x - 2) (x^{2} - 4 x - 8) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 2 = 0 or x^{2} - 4 x - 8 = 0

Löse

x - 2 = 0 : x = 2

Löse

x^{2} - 4 x - 8 = 0 : x = 2 (1 + 3), x = 2 (1 - 3)

Die Lösungen sind

x = 2, x = 2 (1 + 3), x = 2 (1 - 3)

Graph

Beliebte Beispiele

a^3+9a^2-58a+8=0

a^{3} + 9 a^{2} - 58 a + 8 = 0

t^{3} - 9 t = 0

25 x^{4} + 16 = 41 x^{2}

(x+4)*(-4x^2+4x-1)=0

(x + 4) \cdot (- 4 x^{2} + 4 x - 1) = 0

n^4(n+5)-2(5+7n)=-70

n^{4} (n + 5) - 2 (5 + 7 n) = - 70