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Beliebt Algebra >

(3x^2-13x+14)(x^2-4x+1)=0

Lösung

(3 x^{2} - 13 x + 14) (x^{2} - 4 x + 1) = 0

Lösung

x = 2, x = \frac{7}{3}, x = 2 + 3, x = 2 - 3

+1

Dezimale

x = 2, x = 2.33333 \dots, x = 3.73205 \dots, x = 0.26794 \dots

Schritte zur Lösung

(3 x^{2} - 13 x + 14) (x^{2} - 4 x + 1) = 0

Faktorisiere

(3 x^{2} - 13 x + 14) (x^{2} - 4 x + 1) : (x - 2) (3 x - 7) (x^{2} - 4 x + 1)

(x - 2) (3 x - 7) (x^{2} - 4 x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 2 = 0 or 3 x - 7 = 0 or x^{2} - 4 x + 1 = 0

Löse

x - 2 = 0 : x = 2

Löse

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

Löse

x^{2} - 4 x + 1 = 0 : x = 2 + 3, x = 2 - 3

Die Lösungen sind

x = 2, x = \frac{7}{3}, x = 2 + 3, x = 2 - 3

Graph

Beliebte Beispiele

solvefor y,x=(y+7)^3

so l v e f or y, x = (y + 7)^{3}

r^3+3r^2-9r-27=0

r^{3} + 3 r^{2} - 9 r - 27 = 0

v^{3} = 343

solvefor x,6y-12x^3=0

so l v e f or x, 6 y - 12 x^{3} = 0

x^{3} + x^{2} + x + 1 = 4