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Ch03 12

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Ch03 12

  1. 1. Exercice 12 a) 8x − 3 + 2x = 12 − 5x 10x − 3 = 12 − 5x 15x = 15 x =1 7 5 b) x + = −x − 2 2 5 7 2x = − − 2 2 −12 2x = 2 2x = −6 x = −3 c) 0 = 0, 1x − 0, 3 + 3x − 9 0 = 3, 1x − 9, 3 9, 3 = 3, 1x 9, 3 x = =3 3, 1
  2. 2. Exercice 12 (suite..) x d) +1=5 2 x =4 2 x =8 x e) x − − 6 = 0 3 x x− =6 3 3x − x =6 3 2x =6 3 2x = 18 x =9
  3. 3. Exercice 12 (suite..) x x f) 12 + = 3 2 x x 12 = − 2 3 3x − 2x 12 = x 6 12 = 6 x = 6 × 12 = 72 x x g) + = x − 5 4 3 3x + 4x =x−5 12 7x =x−5 12 7x = 12x − 60 −5x = −60 x = 12
  4. 4. Exercice 12 (suite..) 7x 9x h) −5= −8 8 10 7x 9x − = −3 8 10 70x − 72x = −3 80 −2x = −3 80 −x = −3 40 x = 120 x 1 x 1 x 1 1 x i) − − + = − + − 3 3 4 4 5 5 6 6 4x − 4 − 3x + 3 6x − 6 + 5 − 5x = 12 30 x−1 x−1 = 12 30 30x − 30 = 12x − 12 18x = 18 x =1
  5. 5. Exercice 12 (suite..) 3 + 5x 2x 16 + 10x x j) − = − 2 4 4 2 2(3 + 5x) − 2x 16 + 10x − 2x = 4 4 6 + 10x − 2x 16 + 8x = 4 4 6 + 8x = 16 + 8x 0x = 10 10 x = → impossible S= 0 2x − 3 x 3(3x − 2) k) + = 5 2 10 2(2x − 3) + 5x 9x − 6 = 10 10 4x − 6 + 5x = 9x − 6 9x − 6 = 9x − 6 0x = 0 0 x = → indéterminé S = IR 0
  6. 6. Exercice 12 (suite..) x+a x−b l) − =2 b a a(x + a) − b(x − b) =2 ab ax + a2 − bx + b2 =2 ab x(a − b) + a2 + b2 =2 ab x(a − b) + a2 + b2 = 2ab x(a − b) = −a2 + 2ab − b2 x(a − b) = −(a2 − 2ab + b2 ) x(a − b) = −(a − b)(a − b) (a − b)(a − b) x =− a−b x = −(a − b) x =b−a

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