Question

Разложить на множители
$x^{5} + \frac{\sqrt{3}}2} - \frac{1}{2} i$

Answer 1

$\displaystyle \tt x^5+\frac{\sqrt{3}}{2}-\frac{1}{2}i=\frac{1}{2}(2x^5+\sqrt{3}-i)$

Точная форма:

$\displaystyle \tt x^5+\frac{\sqrt{3}}{2}-\frac{1}{2}i=(x - (0.866025 + 0.5 i)) (x - (0.743145 - 0.669131 i))\cdot \\\\\displaystyle \tt \cdot(x + (0.207912 - 0.978148 i)) (x + (0.406737 + 0.913545 i))\cdot\\\\ \displaystyle \tt \cdot (x + (0.994522 - 0.104528 i))$