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Beliebt Algebra >

8x^3-52x^2+78x-27=0

Lösung

8 x^{3} - 52 x^{2} + 78 x - 27 = 0

Lösung

x = \frac{1}{2}, x = \frac{3}{2}, x = \frac{9}{2}

+1

Dezimale

x = 0.5, x = 1.5, x = 4.5

Schritte zur Lösung

8 x^{3} - 52 x^{2} + 78 x - 27 = 0

Faktorisiere

8 x^{3} - 52 x^{2} + 78 x - 27 : (2 x - 1) (2 x - 3) (2 x - 9)

(2 x - 1) (2 x - 3) (2 x - 9) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x - 1 = 0 or 2 x - 3 = 0 or 2 x - 9 = 0

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Löse

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

Löse

2 x - 9 = 0 : x = \frac{9}{2}

Die Lösungen sind

x = \frac{1}{2}, x = \frac{3}{2}, x = \frac{9}{2}

Graph

Beliebte Beispiele

3 x^{3} + 48 = 0

1/6 a^4=1,a^2=1

\frac{1}{6} a^{4} = 1, a^{2} = 1

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- 12 x^{5} - 6 x^{3} = - 10

x^3+4x^2-44x-96=0

x^{3} + 4 x^{2} - 44 x - 96 = 0