Question

Resolver a equação 6x³ - 5x² - 2x + 1 = 0

Answer 1

Oie, Td Bom?!

6x³ - 5x² - 2x + 1 = 0

6x³ - 6x² + x² - x - x + 1 = 0

6x² . (x - 1) + x . (x - 1) - (x - 1) = 0

(x - 1) . (6x² + x - 1) = 0

(x - 1) . (6x² + 3x - 2x - 1) = 0

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

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

x - 1 = 0 ⇒ x = 1

2x + 1 = 0 ⇒ x = - 1/2

3x - 1 = 0 ⇒ x = 1/3

S = {x₁ = - 1/2 , x₂ = 1/3 , x₃ = 1}

Att. Makaveli1996