Select Page

## Learn how to solve Quadratic Equations with Complex Roots

When you first encounter quadratic equations you learn that they can have 2 roots (solutions), 1 root or no roots. In fact, for the latter case, it’s always said that they have no ‘real’ roots. Although they may have no real roots, they do have complex roots. These are solutions to the equation which involve imaginary numbers. In this video, I explain how to solve quadratic equations in general and then those with roots containing imaginary numbers. Any questions about this video drop us a message HERE.

## Key Points

The discriminant tells us whether a quadratic equation will have 0, 1 or 2 real roots (solutions)

The terms ‘solutions’ and ‘roots’ are often used interchangeably

In the case where there are 0 real roots there will be complex roots

We can use the quadratic formula to find these

Such roots use imaginary numbers

Imaginary numbers are built from the imaginary unit, i

i is equal to the square root of -1