Section 1
Basic Definitions
Verify that the equation $x^4+2 x^2+1=0$ has no solution among the real numbers.
Find the value of $i^{15}$.
Let $c_1=-3+i$ and $c_2=2-4 i$. Calculate $c_1+c_2$ and $c_1 \times c_2$.
Verify that the complex number $-1+i$ is a solution for the polynomial equation $x^2+2 x+2=0$.