faudrait savoir appliquer :
k (a+b) = ka + kb
et (a+b) (c+d) = ac + ad + bc + bd
et penser à a² - b² = (a+b) (a-b)
3x (2 + x ) = 3x*2 + 3x*x = 3x² + 6x
(4+x) (x-7) = 4*x + 4*(-7) + x*x + x*(-7) = 4x - 28 + x² - 7x = x² - 3x - 28
(x-5)² comme (a-b)² = a² - 2ab +b² tu auras x² - 10x + 25
12² + 5x = x (12x + 5)
1/2x² - 1/4x = x (1/2x - 1/4)
(2x+1)² - (2x+1) (x+3) = (2x+1) (2x+1 - x-3) = (2x+1) (x-2)
3/5x - 2/5x = -1 - 5
1/5x = -6
x = -6*5 = -30
(x+12) (3x-4) = 0
soit x + 12 = 0 => x = -12
soit 3x -4= 0 => x = 4/3
(x+2)² - 9 = 0
(x+2)² - 3² = 0
(x+2+3) (x+2-3) = 0
(x+5) (x-1) = 0
soit x = -5 soit x = 1
Copyright © 2024 ELIBRARY.TIPS - All rights reserved.
Lista de comentários
faudrait savoir appliquer :
k (a+b) = ka + kb
et (a+b) (c+d) = ac + ad + bc + bd
et penser à a² - b² = (a+b) (a-b)
3x (2 + x ) = 3x*2 + 3x*x = 3x² + 6x
(4+x) (x-7) = 4*x + 4*(-7) + x*x + x*(-7) = 4x - 28 + x² - 7x = x² - 3x - 28
(x-5)² comme (a-b)² = a² - 2ab +b² tu auras x² - 10x + 25
12² + 5x = x (12x + 5)
1/2x² - 1/4x = x (1/2x - 1/4)
(2x+1)² - (2x+1) (x+3) = (2x+1) (2x+1 - x-3) = (2x+1) (x-2)
3/5x - 2/5x = -1 - 5
1/5x = -6
x = -6*5 = -30
(x+12) (3x-4) = 0
soit x + 12 = 0 => x = -12
soit 3x -4= 0 => x = 4/3
(x+2)² - 9 = 0
(x+2)² - 3² = 0
(x+2+3) (x+2-3) = 0
(x+5) (x-1) = 0
soit x = -5 soit x = 1