Finding Real Solutions of Quadratic Equations: Everything You Ever Need to Know

Here I show a few examples of finding real solutions to quadratic equations. If you know these techniques, there is really nothing else you ever really need to know. Either factor by trial and error, use factoring by grouping (I personally never use this one) or the quadratic formula. Boom: done.

[madnesslive]

The Return of the King!!! Patrick, I graduated as a Mechanical Engineer this past May, and you've been there for me since early highschool. Everyime I had a math concept I couldn't grasp there was a perfect video to help me. I've been watching you for quite literally, years. I really hope you see this, and I just wanted to say - THANK YOU! Thank you for all the years of help and your countless of hours that no one sees that goes behind these videos. I record and edit my own videos on the side, so I know how tiring the process can be at times. I wish you nothing but joy and hope you continue to reach out to others.

Stay awesome!

- George

[TMK]

Welcome back!!!

I shifted from a Finance Career to studying Mathematics and Statistics because of you and how well you taught and keep teaching me Mathematics!

Stay awesome, man.

[deepakbehera]

I learnt partial derivatives from you.

[freemantrullasraluy]

Hello, Patrick. I love your videos. May I ask you what software do you use to write on the screen and record. Thank you

[tatertotjrdude]

Welcome back sir! You helped me get through college and graduate with an aerospace engineering degree (:

[bernardomanto]

I wish you could upload videos about Calculus 3 (integration and Infinite Series)

[martinnel]

"Wow, this video is absolutely fantastic! The content deserves a perfect 10/10 for being incredibly useful and highly informative. The explanation is crystal clear, earning another 10/10 for clarity. The high-quality audio commentary easily earns a 9/10, enhancing the overall viewing experience. The use of technology is exemplary, deserving a solid 9/10 as well. In my opinion, this video sets a new standard for mathematic content on YouTube, making it a strong 10/10 for setting the bar high. This video truly deserves worldwide recognition as a benchmark for educational content. Thank you for creating such valuable and outstanding material!"

[tobyharnish]

This guy makes every math learners' life easier. Thanks for the video.

[omoregbeogbebor]

Please mr Patrick, what are the softwares and tools used to make this tutorial?

[Icecube]

i like to watch this stuff to brush up on my maths