de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

28x^3+88x^2-37x-7=0

Lösung

28 x^{3} + 88 x^{2} - 37 x - 7 = 0

Lösung

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

+1

Dezimale

x = 0.5, x = - 0.14285 \dots, x = - 3.5

Schritte zur Lösung

28 x^{3} + 88 x^{2} - 37 x - 7 = 0

Faktorisiere

28 x^{3} + 88 x^{2} - 37 x - 7 : (2 x - 1) (7 x + 1) (2 x + 7)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

7 x + 1 = 0 : x = - \frac{1}{7}

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

2x^3-3x^2+4x-5=0

2 x^{3} - 3 x^{2} + 4 x - 5 = 0

x^{6} = - 2^{6}

216x^3(x-1)^3=64x^6

216 x^{3} (x - 1)^{3} = 64 x^{6}

3(5x+2)(x^2-81)=0

3 (5 x + 2) (x^{2} - 81) = 0

2x^3-16x^2-18x=0

2 x^{3} - 16 x^{2} - 18 x = 0