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Beliebt Algebra >

48x^3+40x^2-x-3=0

Lösung

48 x^{3} + 40 x^{2} - x - 3 = 0

Lösung

x = - \frac{1}{3}, x = \frac{1}{4}, x = - \frac{3}{4}

+1

Dezimale

x = - 0.33333 \dots, x = 0.25, x = - 0.75

Schritte zur Lösung

48 x^{3} + 40 x^{2} - x - 3 = 0

Faktorisiere

48 x^{3} + 40 x^{2} - x - 3 : (3 x + 1) (4 x - 1) (4 x + 3)

(3 x + 1) (4 x - 1) (4 x + 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

3 x + 1 = 0 or 4 x - 1 = 0 or 4 x + 3 = 0

Löse

3 x + 1 = 0 : x = - \frac{1}{3}

Löse

4 x - 1 = 0 : x = \frac{1}{4}

Löse

4 x + 3 = 0 : x = - \frac{3}{4}

Die Lösungen sind

x = - \frac{1}{3}, x = \frac{1}{4}, x = - \frac{3}{4}

Graph

Beliebte Beispiele

solvefor x,f(x^3)=x^2

so l v e f or x, f (x^{3}) = x^{2}

x = x^{4} - 1

solvefor x,x^4-8x^2+7=0

so l v e f or x, x^{4} - 8 x^{2} + 7 = 0

y^{4} + 2 y^{2} + 1 = 0

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

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