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Beliebt Algebra >

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

Lösung

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

Lösung

x = 0, x = - \frac{1}{2}, x = \frac{3}{4}

+1

Dezimale

x = 0, x = - 0.5, x = 0.75

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 2 x + 1 = 0 or 4 x - 3 = 0

Löse

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

Löse

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

Die Lösungen sind

x = 0, x = - \frac{1}{2}, x = \frac{3}{4}

Graph

Beliebte Beispiele

x^4-4x^3+6x^2-4x-1=0

x^{4} - 4 x^{3} + 6 x^{2} - 4 x - 1 = 0

2+2x-x^2=x^3+3x^2+6x+2

2 + 2 x - x^{2} = x^{3} + 3 x^{2} + 6 x + 2

s^3+9s^2+32s+32=0

s^{3} + 9 s^{2} + 32 s + 32 = 0

(x + 7)^{3} = 0

(s^{2} - 2)^{2} = s^{2}