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Beliebt Algebra >

x^4-3x^3-13x^2+9x+30=0

Lösung

x^{4} - 3 x^{3} - 13 x^{2} + 9 x + 30 = 0

Lösung

x = - 2, x = 5, x = - 3, x = 3

+1

Dezimale

x = - 2, x = 5, x = - 1.73205 \dots, x = 1.73205 \dots

Schritte zur Lösung

x^{4} - 3 x^{3} - 13 x^{2} + 9 x + 30 = 0

Faktorisiere

x^{4} - 3 x^{3} - 13 x^{2} + 9 x + 30 : (x + 2) (x - 5) (x + 3) (x - 3)

(x + 2) (x - 5) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 2 = 0 or x - 5 = 0 or x + 3 = 0 or x - 3 = 0

Löse

x + 2 = 0 : x = - 2

Löse

x - 5 = 0 : x = 5

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = - 2, x = 5, x = - 3, x = 3

Graph

Beliebte Beispiele

7 y^{5} - 3 y^{1} = 2 y^{2}

3x^3+2x^2-19x+6=0

3 x^{3} + 2 x^{2} - 19 x + 6 = 0

rationalrootstest x^3-3x^2-25x+75=0

r a t i o na l roo t s t es t x^{3} - 3 x^{2} - 25 x + 75 = 0

r^5-3r^4+3r^3-3r^2+2r=0

r^{5} - 3 r^{4} + 3 r^{3} - 3 r^{2} + 2 r = 0

wurzeln von x^3-2x^2-11x+12

roo t s x^{3} - 2 x^{2} - 11 x + 12