x^3-7x^2+4x+30=0

Lösung

x^{3} - 7 x^{2} + 4 x + 30 = 0

x = 5, x = 1 + 7, x = 1 - 7

Dezimale

x = 5, x = 3.64575 \dots, x = - 1.64575 \dots

Schritte zur Lösung

x^{3} - 7 x^{2} + 4 x + 30 = 0

Faktorisiere

x^{3} - 7 x^{2} + 4 x + 30 : (x - 5) (x^{2} - 2 x - 6)

(x - 5) (x^{2} - 2 x - 6) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 5 = 0 or x^{2} - 2 x - 6 = 0

Löse

x - 5 = 0 : x = 5

Löse

x^{2} - 2 x - 6 = 0 : x = 1 + 7, x = 1 - 7

Die Lösungen sind

x = 5, x = 1 + 7, x = 1 - 7

(x) = x^{3} - 3 x^{2} - 9 x - 5

so l v e f or x, x^{2} + (y - c b r t (x^{2}))^{2} = 25

roo t s z^{4} - 3 z^{3} - 5 z^{2} + 6 z - 8

3 x^{3} - 24 x^{2} + 36 x = 0

roo t s 2 x^{4} + 5 x^{3} + 9 x^{2} + 15 x + 9