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Beliebt Algebra >

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

Lösung

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

Lösung

x = - \frac{1}{2}, x = - \frac{5}{2}, x = \frac{5}{2}

+1

Dezimale

x = - 0.5, x = - 2.5, x = 2.5

Schritte zur Lösung

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

Faktorisiere

8 x^{3} + 4 x^{2} - 50 x - 25 : (2 x + 1) (2 x + 5) (2 x - 5)

(2 x + 1) (2 x + 5) (2 x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x + 1 = 0 or 2 x + 5 = 0 or 2 x - 5 = 0

Löse

2 x + 1 = 0 : x = - \frac{1}{2}

Löse

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

Löse

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

Die Lösungen sind

x = - \frac{1}{2}, x = - \frac{5}{2}, x = \frac{5}{2}

Graph

Beliebte Beispiele

x^4-31x^2+150=0

x^{4} - 31 x^{2} + 150 = 0

x^{8} = - 1

x^{8} = 32

-x^3+8x^2-4x-48=0

- x^{3} + 8 x^{2} - 4 x - 48 = 0

12 = + x x^{3}