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Beliebt Algebra >

(x^2-8x+15)(x+1)=0

Lösung

(x^{2} - 8 x + 15) (x + 1) = 0

Lösung

x = 3, x = 5, x = - 1

Schritte zur Lösung

(x^{2} - 8 x + 15) (x + 1) = 0

Faktorisiere

(x^{2} - 8 x + 15) (x + 1) : (x - 3) (x - 5) (x + 1)

(x - 3) (x - 5) (x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 3 = 0 or x - 5 = 0 or x + 1 = 0

Löse

x - 3 = 0 : x = 3

Löse

x - 5 = 0 : x = 5

Löse

x + 1 = 0 : x = - 1

Die Lösungen sind

x = 3, x = 5, x = - 1

Graph

Beliebte Beispiele

x^4-4x^3+7x^2-8x+10=0

x^{4} - 4 x^{3} + 7 x^{2} - 8 x + 10 = 0

2-3-2x^4-3x-16+2x-3=x+12,a

2 - 3 - 2 x^{4} - 3 x - 16 + 2 x - 3 = x + 12, a

- x^{5} - 1 = 0

solvefor y,5(y+1)^3+x^2=1

so l v e f or y, 5 (y + 1)^{3} + x^{2} = 1

0=24x^3+2x^2+x-5

0 = 24 x^{3} + 2 x^{2} + x - 5