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lacrc
@lacrc
January 2021
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A.Harrach Activité : équation et inéquation du second degré
5. compléter le tableau de signes suivant :
x - 10 - 5 2 5
( x + 5 )
( x – 2 )
X² + 3x – 10
6. en déduire l’ensemble des solutions de l’inéquation x² + 3x – 10 0 :
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anylor
Bonjour
x² + 3x – 10 = ( x+5) (x-2)
x -∞ -5 2 +∞
x+5 - 0 + +
x-2 - - 0 +
x² + 3x – 10 + 0 - 0 +
solutions
x² + 3x – 10 >0 <=> x € ] -∞; -5[ U ]2;+∞[
x² + 3x – 10 = 0 <=> x= -5 ou x = 2
x² + 3x – 10 < 0 <=> x € ] -5; 2[
0 votes
Thanks 1
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x² + 3x – 10 = ( x+5) (x-2)
x -∞ -5 2 +∞
x+5 - 0 + +
x-2 - - 0 +
x² + 3x – 10 + 0 - 0 +
solutions
x² + 3x – 10 >0 <=> x € ] -∞; -5[ U ]2;+∞[
x² + 3x – 10 = 0 <=> x= -5 ou x = 2
x² + 3x – 10 < 0 <=> x € ] -5; 2[