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Beliebt Algebra >

84x^3-71x^2-117x-28=0

Lösung

84 x^{3} - 71 x^{2} - 117 x - 28 = 0

Lösung

x = - \frac{1}{3}, x = - \frac{4}{7}, x = \frac{7}{4}

+1

Dezimale

x = - 0.33333 \dots, x = - 0.57142 \dots, x = 1.75

Schritte zur Lösung

84 x^{3} - 71 x^{2} - 117 x - 28 = 0

Faktorisiere

84 x^{3} - 71 x^{2} - 117 x - 28 : (3 x + 1) (7 x + 4) (4 x - 7)

(3 x + 1) (7 x + 4) (4 x - 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

3 x + 1 = 0 or 7 x + 4 = 0 or 4 x - 7 = 0

Löse

3 x + 1 = 0 : x = - \frac{1}{3}

Löse

7 x + 4 = 0 : x = - \frac{4}{7}

Löse

4 x - 7 = 0 : x = \frac{7}{4}

Die Lösungen sind

x = - \frac{1}{3}, x = - \frac{4}{7}, x = \frac{7}{4}

Graph

Beliebte Beispiele

3 x^{3} + 1 6^{2} = 12 x

solvefor x,3x^4=81x

so l v e f or x, 3 x^{4} = 81 x

x^{2} + 1 = 4 x^{4} x

4x^4+x^3+x^2+x+1=0

4 x^{4} + x^{3} + x^{2} + x + 1 = 0

2x^3+3x^2-32x+15=0

2 x^{3} + 3 x^{2} - 32 x + 15 = 0