The '10' shouldn't even really appear in the domain side when we take the inverse. Think of it as being eliminated because it didn't have anything being mapped to it.

The points 1+i and 2 are labelled because the line y=x-1 is the set of points that are equidistant from those points.

Here is an example of sketching a subset of the complex plane that turns out to be a circle. More to come about this stuff! For private tutoring or to get in touch visit: www.wyneducation.com

NB: The step I said for completing the square was wrong but the working is correct. Prior Knowledge https://youtu.be/NUWP0KHf-CM https://youtu.be/R-jnUeoWZhg https://youtu.be/lnsO9itNz74 https://youtu.be/R-RvQGzPU9k https://youtu.be/yJLVr9KkX-k 00:00 Solving Polynomials Over Complex Numbers Overview 00:50 Remainder Theorem and Factor Theorem Over Complex Numbers 05:06 Proof of Conjugate Root Theorem 09:36 Visualising the Conjugate Root Theorem 15:01 Fundamental Theorem of Algebra Eddie Woo's Conjugate Root Theorem Proof: https://youtu.be/rY7soX46gk8

Geometric Series Link https://youtu.be/qI1OcrShPJ4?t=978 Prior Knowledge https://youtu.be/NUWP0KHf-CM?si=RNrR0DziLz7mjfpP https://youtu.be/R-jnUeoWZhg?si=jEnH7jCBQUnReoug https://youtu.be/lnsO9itNz74?si=6pctdtISj4aZiKES https://youtu.be/R-RvQGzPU9k?si=oRYKkrCi-jEAkd7r https://youtu.be/NS3LHkBLllE?si=bzYQkWThTeH164pL 00:00 De Moivre's Theorem for Solving Equations Overview 01:13 Solving Using De Moivre's Theorem (Theory) 04:10 Solving Using De Moivre's Theorem (Example 1) 07:23 Solving Using De Moivre's Theorem (Example 2) 10:00 Roots of Unity 15:14 Roots of Unity as a Geometric Series