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Beliebt Algebra >

7x^3-2x^2-35x+10=0

Lösung

7 x^{3} - 2 x^{2} - 35 x + 10 = 0

Lösung

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

+1

Dezimale

x = 0.28571 \dots, x = - 2.23606 \dots, x = 2.23606 \dots

Schritte zur Lösung

7 x^{3} - 2 x^{2} - 35 x + 10 = 0

Faktorisiere

7 x^{3} - 2 x^{2} - 35 x + 10 : (7 x - 2) (x + 5) (x - 5)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

7 x - 2 = 0 : x = \frac{2}{7}

Löse

x + 5 = 0 : x = - 5

Löse

x - 5 = 0 : x = 5

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^4-16x^2-720=0

x^{4} - 16 x^{2} - 720 = 0

x^{4} = (5 x - 66)^{2}

x^4+30x^2+225=0

x^{4} + 30 x^{2} + 225 = 0

x^3+3x^2=24x+72

x^{3} + 3 x^{2} = 24 x + 72

s^3+5s^2+24s+20=0

s^{3} + 5 s^{2} + 24 s + 20 = 0