In this video I demonstrate how to get the x and y intercepts for graphs of the form y=ax^2+bx+c. In the process, you discover an algebraic problem solving method called 'completing the square' and you also figure out how to derive the famous *quadratic formula*, algebraically, from absolute scratch. I hope this full and comprehensive explanation of the topic really helps you with your A-Level Mathematics course and I wish you the best of luck with your exams! You can find the graph related to this video at: https://www.desmos.com/calculator/6lcqyyvmn8 To follow me on social media, visit: https://www.instagram.com/tiago_hands https://www.twitter.com/tiago_hands For more mathematics proofs content, go to: https://www.instagram.com/mathematics.proofs Thanks for watching and have a spectacular day! ... https://www.youtube.com/watch?v=bIUvSKeYCC0

In this video I present to you the first 5 iterations of the Koch snowflake. The Koch snowflake is also known as the Koch curve, the Koch star and Koch island. It was discovered by the Swedish mathematician Helge von Koch. It first appeared in a paper in 1904 called "On a Continuous Curve Without Tangents, Constructible from Elementary Geometry" by the man himself. It turns out that the Koch snowflake encloses a finite area, but has an infinite perimeter. Source: https://en.wikipedia.org/wiki/Koch_snowflake#targetText=The%20Koch%20snowflake%20(also%20known,fractals%20to%20have%20been%20described. Description by Tiago Hands [https://www.instagram.com/tiago_hands/] using Wikipedia as a source. ... https://www.youtube.com/watch?v=OqGKzyr_OgY