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Beliebt Algebra >

36x^3+48x^2-84x-112=0

Lösung

36 x^{3} + 48 x^{2} - 84 x - 112 = 0

Lösung

x = - \frac{4}{3}, x = - \frac{7}{3}, x = \frac{7}{3}

+1

Dezimale

x = - 1.33333 \dots, x = - 1.52752 \dots, x = 1.52752 \dots

Schritte zur Lösung

36 x^{3} + 48 x^{2} - 84 x - 112 = 0

Faktorisiere

36 x^{3} + 48 x^{2} - 84 x - 112 : 4 (3 x + 4) (3 x + 7) (3 x - 7)

4 (3 x + 4) (3 x + 7) (3 x - 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

3 x + 4 = 0 or 3 x + 7 = 0 or 3 x - 7 = 0

Löse

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

Löse

3 x + 7 = 0 : x = - \frac{7}{3}

Löse

3 x - 7 = 0 : x = \frac{7}{3}

Die Lösungen sind

x = - \frac{4}{3}, x = - \frac{7}{3}, x = \frac{7}{3}

Graph

Beliebte Beispiele

x^4-5x^3+10x^2-16=0

x^{4} - 5 x^{3} + 10 x^{2} - 16 = 0

x^{4} = 8 x^{2} + 9

x^{3} + 2 x = 10

x^3+2x^2-21x+18=0

x^{3} + 2 x^{2} - 21 x + 18 = 0

4x^4-29x^2+25=0

4 x^{4} - 29 x^{2} + 25 = 0