(x² + x + 1) * (x² + x +1) - 2x² - 2x = 5
x^4 + x³ + x² + x³ + x² + x + x² + x + 1 - 2x² -
2x = 5
x^4 + 2x³ + x² - 4 = 0
x³(x+2) + (x-2)(x+2) = 0
(x+2)(x³ + x -2) = 0
1) x+2 = 0
x1= -2
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2) x³ + x -2 = 0
x³ - 1 + x - 1 = 0
(x-1)(x² + x + 1) + (x - 1) = 0
(x-1)(x² + x + 1 + 1) = 0
x - 1= 0
x2 = 1
3) x² + x + 1 + 1 =0
x² + x + 2 = 0
D=b² - 4ac = 1² - 4*1*2 = 1 - 8 = -7
D <0 ⇒ корней нет</p>
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x1 = -2
x2 = 1