Предмет: Алгебра, автор: jjadar

Пожалуйста решите уравнение

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Ответы

Автор ответа: nKrynka
0
Решение
2x³ - x² + 5x + 3 = 0
x = - 1/2
  2x³ - x² + 5x + 3        I x + 1/2
-(2x² + x²)                     2x² - 2x + 6
          - 2x² + 5x + 3
          -(-2x² - x)
                      6x + 3
                    -(6x + 3)
                    -----------
                                0

2x³ - x² + 5x + 3 = (x + 1/2)*(2x² - 2x + 6) = (2x + 1)*(x² - x + 3)
x² - x + 3 = 0
D = 1 - 4*1*3 = - 11 < 0
действительных корней нет
Ответ: x = - 1/2

Автор ответа: jjadar
0
спасибо большое тебе
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