Here’s a little problem for the eager mathematicians that I made up, you might like it if you get the answer:

Solve for i in terms of u (assume positive square roots):

-4a<36au²

a ∈ ℝ

a>0

u ∈ ℂ

A bit weird, but a basic understanding of imaginary numbers and inequalities should get you the answer (do tell if I mucked it up). It’s just a bit of ‘fun’. The answer and working are below the ‘Read More’ break.

Just to let you know, expect some updates in the near future (predominantly relating to the fact that exam season’s a coming).

-4a<36au²

-4<36u²

-1<9u²

√(-1)<√(9u²)

i<3u

Get it?