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Bellazelda
@Bellazelda
May 2019
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Montrer que c'est positif.
(1/n+4)-(1/n+3) = ?
Merci d'avance.
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Quantum
Verified answer
Bonsoir,
Mettre au même dénominateur :
1/n+4 = (n+3)/(n+4)(n+3) = ( n+3 )/( n²+7n+12 )
1/n+3 = (n+4)/(n+3)(n+4) = ( n+4 )/( n²+7n+12 )
Montrer que la différence est positif :
(n+3)/(n²+7n+12) - (n+4)/(n²+7n+12)
= (n+3-n-4)/(n²+7n+12)
= -1/( n²+7n+12 )
La différence est positif si n²+7n+12 < 0 :
( n+3)(n+4) > 0
S = ] -4 ; -3 [
2 votes
Thanks 2
Quantum
^^
Bellazelda
Merci ^^ j'étais partie avec du second degré et tout ça ^^
Quantum
( n+3 )( n+4 ) > 0 c'est du second degré ^^
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Lista de comentários
Verified answer
Bonsoir,Mettre au même dénominateur :
1/n+4 = (n+3)/(n+4)(n+3) = ( n+3 )/( n²+7n+12 )
1/n+3 = (n+4)/(n+3)(n+4) = ( n+4 )/( n²+7n+12 )
Montrer que la différence est positif :
(n+3)/(n²+7n+12) - (n+4)/(n²+7n+12)
= (n+3-n-4)/(n²+7n+12)
= -1/( n²+7n+12 )
La différence est positif si n²+7n+12 < 0 :
( n+3)(n+4) > 0
S = ] -4 ; -3 [