If $y=x^2-6x+c$, and we vary $c$, what happens to the roots when $c>9$?
What happens when we add together two complex numbers?
What happens when we multiply a complex number by a real or an imaginary number?
Let's go further and see what happens when we multiply two complex numbers together!
Can you use everything you have learned about complex numbers to crack this puzzle?
Can you devise a system for making sense of complex multiplication?
Professor Chris Budd looks at how complex numbers play a crucial role in the electricity networks that power our daily lives.
Dr Holly Krieger explains how she uses complex numbers to understand dynamical systems, including beautiful fractals.
Professor Ahmer Wadee shows us how complex numbers make structures safe.
Discover how Heron of Alexandria missed his chance to explore the unknown mathematical land of complex numbers.
Got your popcorn? Picked a good seat? Are you sitting comfortably? Then - with a bit of maths - let the credits roll...
Discover how maths helps us keep the lights on.