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Beliebt Algebra >

4x^3+4x^2-25x-25=0

Lösung

4 x^{3} + 4 x^{2} - 25 x - 25 = 0

Lösung

x = - 1, x = - \frac{5}{2}, x = \frac{5}{2}

+1

Dezimale

x = - 1, x = - 2.5, x = 2.5

Schritte zur Lösung

4 x^{3} + 4 x^{2} - 25 x - 25 = 0

Faktorisiere

4 x^{3} + 4 x^{2} - 25 x - 25 : (x + 1) (2 x + 5) (2 x - 5)

(x + 1) (2 x + 5) (2 x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or 2 x + 5 = 0 or 2 x - 5 = 0

Löse

x + 1 = 0 : x = - 1

Löse

2 x + 5 = 0 : x = - \frac{5}{2}

Löse

2 x - 5 = 0 : x = \frac{5}{2}

Die Lösungen sind

x = - 1, x = - \frac{5}{2}, x = \frac{5}{2}

Graph

Beliebte Beispiele

(x-15)^6+2(15-x)^2=0

(x - 15)^{6} + 2 (15 - x)^{2} = 0

-x^3+11x^2-39x+45=0

- x^{3} + 11 x^{2} - 39 x + 45 = 0

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

x^{3} - 3 x^{2} + 25 x - 75 = 0

solvefor y,x=(y^3+7)^6

so l v e f or y, x = (y^{3} + 7)^{6}

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