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Beliebt Algebra >

2x^3-75x=0

Lösung

2 x^{3} - 75 x = 0

Lösung

x = 0, x = - \frac{5 3}{2}, x = \frac{5 3}{2}

+1

Dezimale

x = 0, x = - 6.12372 \dots, x = 6.12372 \dots

Schritte zur Lösung

2 x^{3} - 75 x = 0

Faktorisiere

2 x^{3} - 75 x : x (2 x + 53) (2 x - 53)

x (2 x + 53) (2 x - 53) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 2 x + 53 = 0 or 2 x - 53 = 0

Löse

2 x + 53 = 0 : x = - \frac{5 3}{2}

Löse

2 x - 53 = 0 : x = \frac{5 3}{2}

Die Lösungen sind

x = 0, x = - \frac{5 3}{2}, x = \frac{5 3}{2}

Graph

Beliebte Beispiele

x^4+4x^3+17x^2+36x+72=0

x^{4} + 4 x^{3} + 17 x^{2} + 36 x + 72 = 0

solvefor x,y^2=x^6

so l v e f or x, y^{2} = x^{6}

1056X^3-55X^2-55X-1055=0

1056 X^{3} - 55 X^{2} - 55 X - 1055 = 0

solvefor x,du=x^3+5

so l v e f or x, d u = x^{3} + 5

125 x^{3} - 64 = 0