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Beliebt Algebra >

(x^2-9)(x^3-8)=0

Lösung

(x^{2} - 9) (x^{3} - 8) = 0

Lösung

x = - 3, x = 3, x = 2, x = - 1 + 3 i, x = - 1 - 3 i

Schritte zur Lösung

(x^{2} - 9) (x^{3} - 8) = 0

Faktorisiere

(x^{2} - 9) (x^{3} - 8) : (x + 3) (x - 3) (x - 2) (x^{2} + 2 x + 4)

(x + 3) (x - 3) (x - 2) (x^{2} + 2 x + 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Löse

x - 2 = 0 : x = 2

Löse

x^{2} + 2 x + 4 = 0 : x = - 1 + 3 i, x = - 1 - 3 i

Die Lösungen sind

x = - 3, x = 3, x = 2, x = - 1 + 3 i, x = - 1 - 3 i

Graph

Beliebte Beispiele

15x^4-445x^2+8000=0

15 x^{4} - 445 x^{2} + 8000 = 0

x^{3} + x - 1 = 1

9 x = \frac{1}{4} x^{3}

-(x^3)/3-x^2+3x+10=0

- \frac{x ^{3}}{3} - x^{2} + 3 x + 10 = 0

solvefor t,(1+t)^5=1.2784

so l v e f or t, (1 + t)^{5} = 1.2784