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Bonsoir je n'arrive pas mon exo de maths qq'un peut m'aider !!
D'après l(x)=x+900/x
Montrer que l(a)-l(b)= [(a-b)(ab-900)]/ab
Merci !!

Sagot :

ISAPAUL
Bonsoir
I(x) = x+900/x 
I(a) = a+900/a = (a²-900) / a 
I(b) = b+900/b = (b²-900)/b
I(a)- I(b) = (a² - 900)/a - (b²-900)/b 
I(a)-I(b) =( b(a²-900)-a(b²-900) ) / ab
I(a) - I(b) =( a²b - 900b -ab² +900a ) / ab 
I(a) -I(b) = [ (a-b)(ab-900) ] / ab      

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