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Apexpredator
@Apexpredator
April 2019
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Résoudre inéquation :
-x(x+3)/x²+3 > 0
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Résoudre inéquation :
-x(x+3)/(x²+3) > 0
soit -x(x+3)>0 car x²+3>0
soit x(x+3)<0
Tableau de signes
x |-inf -3 0 +inf |
-------------------------------------------------------------------
x | - - 0 + |
-------------------------------------------------------------------
x+3 | - 0 + + |
------------------------------------------------------------------
f(x) | + 0 - 0 + |
------------------------------------------------------------------
donc S=]-3;0[
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-x(x+3)/(x²+3) > 0
soit -x(x+3)>0 car x²+3>0
soit x(x+3)<0
Tableau de signes
x |-inf -3 0 +inf |
-------------------------------------------------------------------
x | - - 0 + |
-------------------------------------------------------------------
x+3 | - 0 + + |
------------------------------------------------------------------
f(x) | + 0 - 0 + |
------------------------------------------------------------------
donc S=]-3;0[