bonjour
programme 1
x
3 x
3 x + 1
programme 2
x
x - 1
x + 2
( x - 1 ) ( x + 2 )
5
5 * 3 = 15
15 + 1
= 16
5
5 - 1 = 4
5 + 2 = 7
4 * 7 = 28
28
A (x) = 3 x + 1
B (x) = ( x - 1 ) ( x + 2 )
3 x + 1 = 0
3 x = - 1
x = - 1 /3
on doit choisir - 1/3 pour obtenir 0 avec le pg 1
B (x) = ( x - 1 ) ( x + 2 )
= x² - 2 x - x - 2
= x² - 3 x - 2
B (x) - A (x) = ( x + 1 ) ( x - 3 )
( x - 1 ) ( x + 2 ) - ( 3 x + 1 ) = ( x + 1 ) ( x - 3 )
x² + 2 x - x - 2 - 3 x - 1 = x² - 3 x + x - 3
x² - 2 x - 3 = x² - 2 x - 3
A ( x) = B (x)
( x - 1 ) ( x + 2 ) = ( 3 x + 1 )
x² + 2 x - x - 2 = 3 x + 1
x² + x - 3 x = 1 + 2
x² - 2 x = 3
x² - 2 x - 3 = 0
( x + 1 ) ( x - 3 ) = 0
x = - 1 ou 3
il faut choisir - 1 ou 3