Réponse:
Bonjour, pour résoudre ces équations nous cherchons à obtenir la forme
ax =b = > x =\frac{b}{a}ax=b=>x=
a
b
Explications étape par étape
On résoud alors dans les R les équations:
a)x+ 6x +9=0
=> 7x = -9 => x = -9/7
b) 36x2 - 12x + 22 =21
=> 36x² -12x +22 -21= 0
=> (6x)² -2(6x)(1) +1 =0
=> (6x +1)²=0
=> 6x +1 = 0 => x = -1/6
c) 4x2 = 8x
=>4x² -8x = 0
=>4x(x-2) = 0
=>x=0 ou x-2=0
=>x=0 ou x=2
d) 5(2x + 1)2 = 20
=>(2x+1)² = 20/5 = 4
=>2x+1 = 4 ou 2x +1 = -4
=>2x = 3 ou 2x = -5
=>x = 3/2 ou x = -5/2
e) (3x + 4) =(5x-6)
=>3x +4 = 5x -6
=>4 +6 = 5x -3x
=>10 = 2x
=>x = 10/2 = 5
f)(x - 2)2 - 100 = 0
=>(x-2)² = 100
=>x-2 = 10 ou x-2 = -10
=>x= 12 ou x = -8
