le 102 et le 99 svp c'est urgent.... Pergunta de ideia deNicolasPERE

NicolasPERE @NicolasPERE

January 2021 1 92 Report

le 102 et le 99 svp c'est urgent

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MAHAM BONSOIR

EXO 102

F=(3x+4)²-3(9x²-16)

1) developpement

F=(3x+4)²-3(9x²-16)
F=9x²+24x+16-27x²+48
F=9x²-27x²+24x+48+16
F=-18x²+24x+64

2) factorisation

F=(3x+4)²-3(9x²-16)
F=(3x+4)²-3[(3x)²-4²]
F=(3x+4)(3x+4)-3(3x-4)(3x+4)
F=(3x+4)[(3x+4)-3(3x-4)
F=(3x+4)(3x+4-9x+12)
F=(3x+4)(-6x+16)

3) resolution de F=0
F=(3x+4)(-6x+16)

(3x+4)(-6x+16)=9⇔3x+4=0 ou -6x+16=0
  ⇔3x=-4 ou -6x=-16
  ⇔x=-4/3 ou x=-16/-6
  ⇔x=-4/3 ou x=8/3

2 votes Thanks 1

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