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Beliebt Algebra >

s^4+9s^3+32s^2+60s=0

Lösung

s^{4} + 9 s^{3} + 32 s^{2} + 60 s = 0

Lösung

s = 0, s = - 5, s = - 2 + 22 i, s = - 2 - 22 i

Schritte zur Lösung

s^{4} + 9 s^{3} + 32 s^{2} + 60 s = 0

Faktorisiere

s^{4} + 9 s^{3} + 32 s^{2} + 60 s : s (s + 5) (s^{2} + 4 s + 12)

s (s + 5) (s^{2} + 4 s + 12) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

s = 0 or s + 5 = 0 or s^{2} + 4 s + 12 = 0

Löse

s + 5 = 0 : s = - 5

Löse

s^{2} + 4 s + 12 = 0 : s = - 2 + 22 i, s = - 2 - 22 i

Die Lösungen sind

s = 0, s = - 5, s = - 2 + 22 i, s = - 2 - 22 i

Graph

Beliebte Beispiele

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

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

x^3+6x^2-12x+8=0

x^{3} + 6 x^{2} - 12 x + 8 = 0

solvefor x,125x=5x^3

so l v e f or x, 125 x = 5 x^{3}

0.12 = x^{4} - 1

solvefor x,x^4+7x^2-16=0

so l v e f or x, x^{4} + 7 x^{2} - 16 = 0