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Beliebt Algebra >

-5.3t^3+21t^2+16t=0

Lösung

- 5.3 t^{3} + 21 t^{2} + 16 t = 0

Lösung

t = 0, t = \frac{105 + 19505}{53}, t = \frac{105 - 19505}{53}

+1

Dezimale

t = 0, t = 4.61623 \dots, t = - 0.65396 \dots

Schritte zur Lösung

- 5.3 t^{3} + 21 t^{2} + 16 t = 0

Faktorisiere

- 5.3 t^{3} + 21 t^{2} + 16 t : - t (5.3 t^{2} - 21 t - 16)

- t (5.3 t^{2} - 21 t - 16) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

t = 0 or 5.3 t^{2} - 21 t - 16 = 0

Löse

5.3 t^{2} - 21 t - 16 = 0 : t = \frac{105 + 19505}{53}, t = \frac{105 - 19505}{53}

Die Lösungen sind

t = 0, t = \frac{105 + 19505}{53}, t = \frac{105 - 19505}{53}

Graph

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