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Beliebt Algebra >

-2x(5x-4)(x^2-100)=0

Lösung

- 2 x (5 x - 4) (x^{2} - 100) = 0

Lösung

x = 0, x = \frac{4}{5}, x = - 10, x = 10

+1

Dezimale

x = 0, x = 0.8, x = - 10, x = 10

Schritte zur Lösung

- 2 x (5 x - 4) (x^{2} - 100) = 0

Faktorisiere

- 2 x (5 x - 4) (x^{2} - 100) : - 2 x (5 x - 4) (x + 10) (x - 10)

- 2 x (5 x - 4) (x + 10) (x - 10) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 5 x - 4 = 0 or x + 10 = 0 or x - 10 = 0

Löse

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

Löse

x + 10 = 0 : x = - 10

Löse

x - 10 = 0 : x = 10

Die Lösungen sind

x = 0, x = \frac{4}{5}, x = - 10, x = 10

Graph

Beliebte Beispiele

x^{5} + x^{3} - 6 x = 0

x^{5} = - 32

(1+x/3)^8=1.276

(1 + \frac{x}{3})^{8} = 1.276

solvefor x,3y^3=4x^3+1

so l v e f or x, 3 y^{3} = 4 x^{3} + 1

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