Сумма корней cos(x)^2-3*cos(x)+2=0

Сумма и произведение корней

сумма

2*pi + 2*pi - I*im(acos(2)) + I*im(acos(2)) + re(acos(2))

$$\left(2 \pi + \left(2 \pi - i \operatorname{im}{\left(\operatorname{acos}{\left(2 \right)}\right)}\right)\right) + \left(\operatorname{re}{\left(\operatorname{acos}{\left(2 \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(2 \right)}\right)}\right)$$

=

4*pi + re(acos(2))

$$\operatorname{re}{\left(\operatorname{acos}{\left(2 \right)}\right)} + 4 \pi$$

произведение

0*2*pi*(2*pi - I*im(acos(2)))*(I*im(acos(2)) + re(acos(2)))

$$0 \cdot 2 \pi \left(2 \pi - i \operatorname{im}{\left(\operatorname{acos}{\left(2 \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{acos}{\left(2 \right)}\right)} + i \operatorname{im}{\left(\operatorname{acos}{\left(2 \right)}\right)}\right)$$

=

0

$$0$$