Chapter 7.3, Problem 8E

(a)

To determine

All complex numbers that are solutions of $z^3+27=0$ in standard form $a+bi$.

(b)

To determine

All complex numbers that are solutions of $z^8-16=0$ in standard form $a+bi$.

(c)

To determine

All complex numbers that are solutions of $z^3-i=0$ in standard form $a+bi$.

(d)

To determine

All complex numbers that are solutions of $z^3+8i=0$ in standard form $a+bi$.

(e)

To determine

All complex numbers that are solutions of $z^4+\frac{1}{2}-\frac{\sqrt{3}}{2}i=0$ in standard form $a+bi$.

(f)

To determine

All complex numbers that are solutions of $z^4+1-\sqrt{3}i=0$ in standard form $a+bi$.

(g)

To determine

All complex numbers that are solutions of $z^4+\frac{1}{2}+\frac{\sqrt{3}}{2}i=0$ in standard form $a+bi$.

(h)

To determine

All complex numbers that are solutions of $z^4+8+8\sqrt{3}i=0$ in standard form $a+bi$.