Solve the magnitudes of the solutions

Question

I was wondering how I could do these two problems

x^2 + 1=0

x^3 + 1 = 0

I m trying to find the roots and magnitudes of these questions. Thank you

Answer 1

$$\mbox{x^2=-1}$$

$$\mbox{x = i and -i (These are complex roots)}$$ The Magnitude is $\sqrt{(-1)^2} = 1$

$$\mbox{x^3 = 1}$$

$$\mbox{x = 1}$$ The Magnitude is simply $1$

The general formula for finding the magnitude of a complex number: $|a + bi| = \sqrt{a^2 + b^2}$