de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

16x^3+64x^2-25x-100=0

Lösung

16 x^{3} + 64 x^{2} - 25 x - 100 = 0

Lösung

x = - 4, x = - \frac{5}{4}, x = \frac{5}{4}

+1

Dezimale

x = - 4, x = - 1.25, x = 1.25

Schritte zur Lösung

16 x^{3} + 64 x^{2} - 25 x - 100 = 0

Faktorisiere

16 x^{3} + 64 x^{2} - 25 x - 100 : (x + 4) (4 x + 5) (4 x - 5)

(x + 4) (4 x + 5) (4 x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 4 = 0 or 4 x + 5 = 0 or 4 x - 5 = 0

Löse

x + 4 = 0 : x = - 4

Löse

4 x + 5 = 0 : x = - \frac{5}{4}

Löse

4 x - 5 = 0 : x = \frac{5}{4}

Die Lösungen sind

x = - 4, x = - \frac{5}{4}, x = \frac{5}{4}

Graph

Beliebte Beispiele

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

(x - 3)^{4} - 30 = 0

x^3+3x^2+2x+7=0

x^{3} + 3 x^{2} + 2 x + 7 = 0

1/2 x^3+3x-4=-2

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

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