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Beliebt Algebra >

4x^3-9x^2+4=0

Lösung

4 x^{3} - 9 x^{2} + 4 = 0

Lösung

x = 2, x = \frac{1 + 33}{8}, x = \frac{1 - 33}{8}

+1

Dezimale

x = 2, x = 0.84307 \dots, x = - 0.59307 \dots

Schritte zur Lösung

4 x^{3} - 9 x^{2} + 4 = 0

Faktorisiere

4 x^{3} - 9 x^{2} + 4 : (x - 2) (4 x^{2} - x - 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 2 = 0 or 4 x^{2} - x - 2 = 0

Löse

x - 2 = 0 : x = 2

Löse

4 x^{2} - x - 2 = 0 : x = \frac{1 + 33}{8}, x = \frac{1 - 33}{8}

Die Lösungen sind

x = 2, x = \frac{1 + 33}{8}, x = \frac{1 - 33}{8}

Graph

Beliebte Beispiele

-x^3+2x^2+7x+4=0

- x^{3} + 2 x^{2} + 7 x + 4 = 0

3x^3+4x^2-9x-12=0

3 x^{3} + 4 x^{2} - 9 x - 12 = 0

x^3-16x^2+75x-90=0

x^{3} - 16 x^{2} + 75 x - 90 = 0

solvefor x,(d^2x)/(dt^2)=2x^3

so l v e f or x, \frac{d ^{2} x}{d t ^{2}} = 2 x^{3}

x^{4} + 11 x^{2} = 0