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Beliebt Algebra >

x^3-8x^2+12x+9=0

Lösung

x^{3} - 8 x^{2} + 12 x + 9 = 0

Lösung

x = 3, x = \frac{5 + 37}{2}, x = \frac{5 - 37}{2}

+1

Dezimale

x = 3, x = 5.54138 \dots, x = - 0.54138 \dots

Schritte zur Lösung

x^{3} - 8 x^{2} + 12 x + 9 = 0

Faktorisiere

x^{3} - 8 x^{2} + 12 x + 9 : (x - 3) (x^{2} - 5 x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 3 = 0 or x^{2} - 5 x - 3 = 0

Löse

x - 3 = 0 : x = 3

Löse

x^{2} - 5 x - 3 = 0 : x = \frac{5 + 37}{2}, x = \frac{5 - 37}{2}

Die Lösungen sind

x = 3, x = \frac{5 + 37}{2}, x = \frac{5 - 37}{2}

Graph

Beliebte Beispiele

z^{5} = 1

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

solvefor x,f*g=(x^2+1)^{10}

so l v e f or x, f \cdot g = (x^{2} + 1)^{10}

d^{3} - d^{2} - 4 d + 4 = 0

(x^2+x)(x^2+x-8)+12=0

(x^{2} + x) (x^{2} + x - 8) + 12 = 0