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Beliebt Algebra >

4x(5x^2-3)=0

Lösung

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

Lösung

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

+1

Dezimale

x = 0, x = - 0.77459 \dots, x = 0.77459 \dots

Schritte zur Lösung

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

Faktorisiere

4 x (5 x^{2} - 3) : 4 x (5 x + 3) (5 x - 3)

4 x (5 x + 3) (5 x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 5 x + 3 = 0 or 5 x - 3 = 0

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

20x=x^2(x)+36x-2x(x)(x)

20 x = x^{2} (x) + 36 x - 2 x (x) (x)

solvefor y,y^2-y^4=x

so l v e f or y, y^{2} - y^{4} = x

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

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

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

\frac{1}{3} x^{4} = 27