Complex Numbers and Quadratic Equations

What is the value of $i^{35}$?...

What is the multiplicative inverse of $2 - 3i$?...

What is the modulus of the complex number $-1 + i\sqrt{3}$?...

What is the polar form of the complex number $1 + i$?...

What are the roots of the quadratic equation $x^2 + x + 1 = 0$?...