Soit f(x) =.... Pergunta de ideia deSoufianBOUAZAMA

SoufianBOUAZAMA @SoufianBOUAZAMA

April 2019 1 59 Report

Soit f(x) = $3/4x^{3} - 6x^{2} + 10x : a) Factoriser f(x)$

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anno32 Bonsoir

Factorisons f(x)

(3/4)x^3 - 6x² + 10x simplifions l'expression en factorisant par x
x ((3/4)x² - 6x + 10 = 0
x = 0 ou ((3/4)x² - 6x + 10 = 0

((3/4)x² - 6x + 10 = 0
Calculons Δ
Δ = b² - 4ac pour a = 3/4, b = -6 et c = 10
Δ = (-6)² - 4(3/4)(10) = 36 - 30 = 6
√Δ = √6

x1 =( -b - √Δ) / 2a
x1 = (6 - √6) / (3/2)
x1 = (12 - 2√6) / 3

x2 = ( -b + √Δ) / 2a
x2 = (6 + √6) / 3/2
x2 = (12 + 2√6) / 3

S = {0;(12 - 2√6) / 3;(12 + 2√6) / 3 }

x(x - 12 +√6)/3)(x-12-√6)/3

2 votes Thanks 1

SoufianBOUAZAMA Merci, j'aurais plus souvent besoin de ton aide mais c'est bon pour aujourd'hui :)

anno32 merci à toi aussi

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