Spé math, 1ère: Exercice (7): sur racines/formes factoriser:.... Pergunta de ideia demimss09

mimss09 @mimss09

September 2022 1 102 Report

Spé math, 1ère:

Exercice (7):
sur
racines/formes factoriser:

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Leafe

Bonsoir,

$\textnormal{Pour qu'un r\'eel x soit racine de f il faut que f(x) = 0}$

$1) \ f(1) = 1^2 -3 \times 1 \times +4 = 0 \iff 5 - 3m = 0 \iff -3m = -5 \iff \boxed{m = \frac{5}{3}}$

$2) f(-2) = (-2)^2 -3 \times (-2) \times m +4 = 0 \iff 8 + 6m = 0 \iff \boxed{m = -\frac{4}{3} }$

$3) f(\frac{2}{3}) = (\frac{2}{3})^2 -3 \times \frac{2}{3} \times m +4 = 0 \iff \frac{40}{9} -2m = 0 \iff m = -\frac{40}{9} \times (-\frac{1}{2}) \iff \boxed{m = \frac{20}{9}}$

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