Characteristic Root Technique 

3:05 Jump-Scare Alert

You're a legend for making this so clear and concise. Simple, straightforward steps that are easy to understand. If you're still out there, know that you saved another soul from being crushed by a discrete math midterm.

thank you so much! I was so lost reading the long paragraph in my notes and you explained it so clearly!!

Best resource I've found on this topic, clear, concise, and covers everything. Thank you

this is the best explanation had been uploaded on youtube EVER

Alots of thanks dear,,,, You solve my problem,,, May Allah bless you

Thanks for explaining.👍👍 Very informative video!

Thanks, you really helped me out a lot.

wow you made this look so easy

Thank you so much for this explanation

thank you so much! this was very clear. I appreciate it!

This was super helpful!

Thank you so much great job

It's 6am and I can't sleep, so now I'm here, for no real reason

It finally clicked together thank you!

Very helpful thank you

Thank you so much!

u are the best

thanks so much!

jump scare at 3:05, great video but that sound really caught me off guard.

Thanks!

THANK YOU

Thank you

Brilliant

Where can I find a proof or explanation of why the technique works

exceptionally helpful, cause I followed perfectly without sound

You're god man

How can we do A n = 2A n-¹ _ A n-² When A¹ = 0 and A² = 62

*_He has not shown the case where 2 roots are equal_* Say for this equation -->> an - 4(an -1) + 4 an-2=0 In this case our roots will be equal, that is we will get 2,2 as our roots.. *_For this case we have a different equation_* --> an=c1(root 1)^n + c2 n (root 2)^n So for the above given equation the ans will be--->> an = c1 (2)^n + c2 n (2)^n

3:05 i almost fainted

why 19/7?

Damn this is the easiest one i've ever found on ch. roots

2:20 I was looking for a derivation, not a cookbook formula. Not helpful.

Thank you

Thank you