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Beliebt Algebra >

8x^3-84x^2+262x-231=0

Lösung

8 x^{3} - 84 x^{2} + 262 x - 231 = 0

Lösung

x = \frac{3}{2}, x = \frac{7}{2}, x = \frac{11}{2}

+1

Dezimale

x = 1.5, x = 3.5, x = 5.5

Schritte zur Lösung

8 x^{3} - 84 x^{2} + 262 x - 231 = 0

Faktorisiere

8 x^{3} - 84 x^{2} + 262 x - 231 : (2 x - 3) (2 x - 7) (2 x - 11)

(2 x - 3) (2 x - 7) (2 x - 11) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x - 3 = 0 or 2 x - 7 = 0 or 2 x - 11 = 0

Löse

2 x - 3 = 0 : x = \frac{3}{2}

Löse

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

Löse

2 x - 11 = 0 : x = \frac{11}{2}

Die Lösungen sind

x = \frac{3}{2}, x = \frac{7}{2}, x = \frac{11}{2}

Graph

Beliebte Beispiele

z^{3} = - 8

2 (x - 3)^{3} = \frac{1}{4}

n^5+100=n^1+5^5

n^{5} + 100 = n^{1} + 5^{5}

x^{3} \cdot 13 = x^{2} \cdot 247

(2x-9)(x^2-4)=0

(2 x - 9) (x^{2} - 4) = 0