Question

3x.( X -2 ) = 2.(x+3/2)

Answer 1

3 x (x - 2 ) = 2.(x + 3 /2)
3 x² - 6 x = 2 x + 6 /2
3 x² - 6 x - 2 x = 3
3 x² - 8 x - 3 = 0
Δ = b² - 4.a.c
Δ(-8)² - 4 . 3 . -3
Δ = 64 + 36
Δ = 100 ⇒ √ 100 = 10
x = - b + ou - 10 / 2.3
x´= -(-8) + 10 / 6
x´= 8 + 10 / 6
x´= 18/6
x´= 3
x´´= 8 - 10 / 6
x´´= -2 / 6
x´´= -1/3
S = {-1/3 ; 3 }