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Beliebt Algebra >

x^3+27+3(x+3)=0

Lösung

x^{3} + 27 + 3 (x + 3) = 0

Lösung

x = - 3, x = \frac{3}{2} + i \frac{39}{2}, x = \frac{3}{2} - i \frac{39}{2}

Schritte zur Lösung

x^{3} + 27 + 3 (x + 3) = 0

Schreibe

x^{3} + 27 + 3 (x + 3)

um:

x^{3} + 3 x + 36

x^{3} + 3 x + 36 = 0

Faktorisiere

x^{3} + 3 x + 36 : (x + 3) (x^{2} - 3 x + 12)

(x + 3) (x^{2} - 3 x + 12) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 3 = 0 or x^{2} - 3 x + 12 = 0

Löse

x + 3 = 0 : x = - 3

Löse

x^{2} - 3 x + 12 = 0 : x = \frac{3}{2} + i \frac{39}{2}, x = \frac{3}{2} - i \frac{39}{2}

Die Lösungen sind

x = - 3, x = \frac{3}{2} + i \frac{39}{2}, x = \frac{3}{2} - i \frac{39}{2}

Graph

Beliebte Beispiele

(x) = 2 x^{3} - 1500

x^4-(x-0.5)^4=10^4

x^{4} - (x - 0.5)^{4} = 1 0^{4}

0 = x^{3} - x + 3

x^{10} = 1024

solvefor x,y^3+7y=x^3

so l v e f or x, y^{3} + 7 y = x^{3}