# Complex numbers and complex planes

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##### Examples
###### Lessons
1. For the following quadratic equations,
i) find and classify the roots
ii) plot the roots on the complex plane
1. $y=x^2-1$
2. $y=x^2+1$
3. $y=-x^2+2x-5$
2. Given that function $f(x)=2x^2-2x+3$, find the roots of the function
###### Topic Notes
Now that we know the basics of imaginary numbers, let's expand our knowledge and learn about another concept that is closely tied to imaginary numbers – complex numbers, a number that is consisted of a real part, and an imaginary part. In this section, we will learn what makes up a complex number, as well as how to plot on a complex plane.