Algebra › Section H · Roots and radicals › Topic H.8
The complex number system
When even roots of negatives run into a wall, mathematics does what it has always done — builds a bigger number system. Adding one new number, the imaginary unit, opens a world where every quadratic has solutions.
In this topic
- Extending the number line, again
- The imaginary unit
- Complex numbers: the form a + bi
- Adding and subtracting complex numbers
- Worked example: multiplying complex numbers
- Conjugates: the radical-killer returns
- Powers of i run on a four-cycle
- Worked example: a quadratic with complex roots
- Common mistakes to avoid
- Key takeaways
This topic is part of Wuanberri Pro. Checking your access…