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Beliebt Algebra >

2x^3+17x^2+16x-35=0

Lösung

2 x^{3} + 17 x^{2} + 16 x - 35 = 0

Lösung

x = 1, x = - \frac{5}{2}, x = - 7

+1

Dezimale

x = 1, x = - 2.5, x = - 7

Schritte zur Lösung

2 x^{3} + 17 x^{2} + 16 x - 35 = 0

Faktorisiere

2 x^{3} + 17 x^{2} + 16 x - 35 : (x - 1) (2 x + 5) (x + 7)

(x - 1) (2 x + 5) (x + 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or 2 x + 5 = 0 or x + 7 = 0

Löse

x - 1 = 0 : x = 1

Löse

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

Löse

x + 7 = 0 : x = - 7

Die Lösungen sind

x = 1, x = - \frac{5}{2}, x = - 7

Graph

Beliebte Beispiele

x^{4} - 7 x^{2} + 12 = 0

(x^2+5)(x-1)-(x^2+5)(2x+3)=0

(x^{2} + 5) (x - 1) - (x^{2} + 5) (2 x + 3) = 0

(5x+3)^{28}= 16/7

(5 x + 3)^{28} = \frac{16}{7}

- x^{3} + 27 x - 54 x = 0

(x-2)^6+(x-4)^6=64

(x - 2)^{6} + (x - 4)^{6} = 64