Correction contrôle equations Exercice 1
5( 2)
5( ( 2))
5 ( 10)
A a
A a
A a
3( 4)
3 12
B x
B x
3( 5) 4( 2) 3 15 4 8(3 4) 15 8 7 7
C x x
C x x
C x
C x
2( 2) 3(5 ) 2 4 15 3
(2 3) 4 15 11
D x x
D x x
D x
D x
Exercice 2
2
2 2
( 3)(2 5)
2 5 3 2 3 5
2 5 6 15
(5 6) 2 15 11 2 15
E x x
E x x x x
E x x x
E x x
E x x
2
2 2
(2 3)( 7) (2 ( 3))( ( 7))
2 2 ( 7) ( 3) ( 3) ( 7) 2 ( 14 ) ( 3 ) ( 21)
( 14 3) 2 21
17 2 21
F x x
F x x
F x x x x
F x x x
F x x
F x x
Exercice 3
3 5 6
(1 ) ( )
4 3 7
4 3 5 7 6 3
( ) ( )
4 4 3 7 7 3 4 3 35 18
( ) ( )
4 21 21
7 35 18 4 21 7 53 4 21
7 21 53 4 4 21 21 4 147 212
84 84 147 212
84 65 84 G G G G G G G G G
2 3 5 1 5
6
2 5
3 1
5 6
2 3 5 1 6 5 5 1 5 1 6 6 2 15 6 5
5 5 6 6
2 15 6 5
5 6
17 1 5 6 17 6 5 1 17 6 5 1 112
5 H
H H H H H H H H
Exercice 4 a.
4 5 8
4 5 5 8 5 4 13
4 13
4 4
13 4 x x x x
x
b.
5 3 2 7
5 3 2 2 7 2
(5 2) 3 7
3 3 7
3 3 3 7 3 3 10
3 10
3 3
10 3
x x
x x x x
x x x x x
x
c.
4( 5) 3(5 2) 4 20 15 6
4 20 4 15 6 4 20 (15 4) 6 20 11 6 20 6 11 6 6 14 11
14 11
x x
x x
x x x x
x x
x x x
d.
5 3 2 (4 3 ) 5 3 2 (4 ( 3 )) 5 3 2 ( 4) ( 3 ) 5 3 (2 3) ( 4) 5 3 5 ( 4)
5 3 5 5 ( 4) 5 3 ( 4)
x x x
x x x
x x x
x x
x x
x x x x
Il n’ y a pas de solution pour cette equation
e.
1 (5 2 ) 3 (2 5) 1 (5 ( 2 )) 3 (2 ( 5)) 1 ( 5) ( 2 ) 3 ( 2 ) ( 5)
4 2 8 ( 2 )
4 2 2 8 ( 2 ) 2 (2 2) 4 8
4 4 8 4 4 4 8 4 4 12
4 12
4 4
3
x x
x x
x x
x x
x x x x
x x x x x x