Résoudre les équations
a. (x + 3) + (x - 4)= 0
x + 3 + x - 4 = 0
2 x = 4 - 3
2 x = 1
x = 1/2
C. (x + 1)(x - 5) = 0
un des 2 facteurs = 0
soit x + 1 = 0 et x = - 1
soit x - 5 = 0 et x= 5
e. (x + 1)(x + 2) = 2
x² + 2 x + x + 2 = 2
x² + 3 x + 2 - 2 = 0
x ( x + 3 ) = 0
x = 0 ou - 3
b. 2x² - 5x = 0
x ( 2 x - 5 ) = 0
x = 0 ou 5/2
d. 4x² - 5 = 2x(3 + 2x)
4 x² - 5 = 6 x + 4 x² 4 x² - 4 x² - 6 x = 5
- 6 x = 5
x = - 5/6
f. (3x - 5)² = 0
(3 x - 5 ) ( 3 x - 5) = 0
x = 5/3
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Résoudre les équations
a. (x + 3) + (x - 4)= 0
x + 3 + x - 4 = 0
2 x = 4 - 3
2 x = 1
x = 1/2
C. (x + 1)(x - 5) = 0
un des 2 facteurs = 0
soit x + 1 = 0 et x = - 1
soit x - 5 = 0 et x= 5
e. (x + 1)(x + 2) = 2
x² + 2 x + x + 2 = 2
x² + 3 x + 2 - 2 = 0
x ( x + 3 ) = 0
x = 0 ou - 3
b. 2x² - 5x = 0
x ( 2 x - 5 ) = 0
x = 0 ou 5/2
d. 4x² - 5 = 2x(3 + 2x)
4 x² - 5 = 6 x + 4 x²
4 x² - 4 x² - 6 x = 5
- 6 x = 5
x = - 5/6
f. (3x - 5)² = 0
(3 x - 5 ) ( 3 x - 5) = 0
x = 5/3