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Beliebt Algebra >

4x^4-22x^3+38x^2-44x+60=0

Lösung

4 x^{4} - 22 x^{3} + 38 x^{2} - 44 x + 60 = 0

Lösung

x = 3, x = \frac{5}{2}, x = 2 i, x = - 2 i

Schritte zur Lösung

4 x^{4} - 22 x^{3} + 38 x^{2} - 44 x + 60 = 0

Faktorisiere

4 x^{4} - 22 x^{3} + 38 x^{2} - 44 x + 60 : 2 (x - 3) (2 x - 5) (x^{2} + 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 3 = 0 : x = 3

Löse

2 x - 5 = 0 : x = \frac{5}{2}

Löse

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

Die Lösungen sind

x = 3, x = \frac{5}{2}, x = 2 i, x = - 2 i

Graph

Beliebte Beispiele

p^{4} - 4 p + 3 = 0

x^3-6x^2+9x-3=0

x^{3} - 6 x^{2} + 9 x - 3 = 0

(x^{2} + 9)^{2} = 0

faktorisieren 4x^3-8x^2-25x+50=0

f a c t or 4 x^{3} - 8 x^{2} - 25 x + 50 = 0

solvefor y,9x^5+6y^3=5x+10x^6

so l v e f or y, 9 x^{5} + 6 y^{3} = 5 x + 10 x^{6}