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Beliebt Algebra >

(3x+7)(x^2-100)=0

Lösung

(3 x + 7) (x^{2} - 100) = 0

Lösung

x = - \frac{7}{3}, x = - 10, x = 10

+1

Dezimale

x = - 2.33333 \dots, x = - 10, x = 10

Schritte zur Lösung

(3 x + 7) (x^{2} - 100) = 0

Faktorisiere

(3 x + 7) (x^{2} - 100) : (3 x + 7) (x + 10) (x - 10)

(3 x + 7) (x + 10) (x - 10) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

3 x + 7 = 0 or x + 10 = 0 or x - 10 = 0

Löse

3 x + 7 = 0 : x = - \frac{7}{3}

Löse

x + 10 = 0 : x = - 10

Löse

x - 10 = 0 : x = 10

Die Lösungen sind

x = - \frac{7}{3}, x = - 10, x = 10

Graph

Beliebte Beispiele

-3x^4+4x^2+8x+4=0

- 3 x^{4} + 4 x^{2} + 8 x + 4 = 0

1031 = x^{5} + x + 3

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

solvefor x,0=x^3-y+5

so l v e f or x, 0 = x^{3} - y + 5

2 x^{3} - 5 x^{2} = 12 x