Question

x.(x-1).(2x+3), qual a resolução?

Answer 1

x.(x-1).(2x+3) = 0
(x² -x ) . (2x+3) = 0
2x³  + 3x²  -2x² -3x = 0
2x³ + x² - 3x = 0

x (2x² + x - 3 ) = 0
x' = 0

a= 2
b =1
c = -3

Δ = b² -4 .a . c 
Δ = 1² -4 . 2 . (-3)
Δ = 1 + 24
Δ = 25

-b +- √Δ   / 2 .a
-1 +- √25   / 2 . 2
-1 +-  5  / 4 

x" = -1 + 5   / 4
x" = 4   / 4
x" = 1

x"' = -1 - 5  / 4 
x"' = -6 / 4      ÷2
x"' = -3 /2

Resposta :  
x' = 0
x" = 1
x"' = -3/2