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Beliebt Algebra >

4x^3+7x^2-28x-49=0

Lösung

4 x^{3} + 7 x^{2} - 28 x - 49 = 0

Lösung

x = - \frac{7}{4}, x = - 7, x = 7

+1

Dezimale

x = - 1.75, x = - 2.64575 \dots, x = 2.64575 \dots

Schritte zur Lösung

4 x^{3} + 7 x^{2} - 28 x - 49 = 0

Faktorisiere

4 x^{3} + 7 x^{2} - 28 x - 49 : (4 x + 7) (x + 7) (x - 7)

(4 x + 7) (x + 7) (x - 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

4 x + 7 = 0 or x + 7 = 0 or x - 7 = 0

Löse

4 x + 7 = 0 : x = - \frac{7}{4}

Löse

x + 7 = 0 : x = - 7

Löse

x - 7 = 0 : x = 7

Die Lösungen sind

x = - \frac{7}{4}, x = - 7, x = 7

Graph

Beliebte Beispiele

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

z^{5} = 1 - i

4 x^{3} - 48 x^{2} = 0

n^{8} + 12 = 64

x^4-x^2=11x^2+64

x^{4} - x^{2} = 11 x^{2} + 64