nurulfalisha nurulfalisha

04-08-2021
Mathematics

contestada

plss helppp!!

pls show how is it done

solve the equation :

x³ = 3x² + 3x - 1

Respuesta :

mhanifa mhanifa

04-08-2021

Answer:

x³ = 3x² + 3x - 1
x³- 3x² - 3x + 1 = 0
(x³ + 1) - 3x(x + 1) = 0
(x + 1)(x² - x + 1 - 3x) = 0
(x + 1)(x² - 4x + 1) = 0
(x + 1)(x² -4x + 4 - 3) = 0
(x + 1)((x - 2)² - (√3)²) = 0
(x + 1)(x - 2 + √3)(x - 2 - √3) = 0

x = -1
x = 2 - √3
x = 2 + √3

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