Question

2x³+x²-6x+3=0 resoluçao pff

Answer 1

2x³+x²-6x+3=0 resoluçao pff

2x³ + x² + 6x + 3 = 0   ou  2x³ + 2x - 6x - 3 = 0  ?????

com (+)
2x³ + x² + 6x + 3 =0
x²(2x + 1) + 3(2x + 3)= 0
(x² + 3)(2x + 1) = 0
(x² + 3) = 0
x² = - 3
x = +  √-3  (não existe REAL zero)
x' = Ф
x" = Ф
e
( 2x + 1) = 0
2x + 1 = 0
2x = - 1
x = - 1/2

OU
com(-)
2x³ + x² - 6x - 3 = 0
x² (2x + 1) - 3(2x + 1) = 0
(x² - 3)(2x + 1)= 0
(x² - 3) = 0
x² - 3 = 0
x² = + 3
x = + √3

x' = + √3
x" = - √3
e
(2x + 1) = 0
2x + 1 = 0
2x = - 1
x = - 1/2

então

x' = √3
x" = - √3
x'" = - 1/2