Teachers Get Stumped

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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information. Viewers should always verify the information provided in this video by consulting other reliable sources.

[BriTheMathGuy]

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[MrTeniguafez]

You can also use the fact that 216+6 = 222 and 216 = 6^3 to do basically the same thing, just with a difference of cubes instead of a difference of squares

[SyberMath]

Nice!
You could also do the following:
y³+y = 222
y(y²+1) = 2(111) = 2(3)(37) = 6(37) = 6(6²+1)
y(y²+1) = 6(6²+1)
y = 6 works!!!
🤩

[Szxx]

One of the greatest teacher in this platform love your videos ❤

[GuzmanTierno]

we can first check if there are integer solutions ... if there are, they must be divisors of 222 = 37*2*3 ... and we find that 6 is actually a solution ... so the equation becomes a second degree equation

[advaykumar]

LHS is strictly inc hence has only one solution😊

[IamExeller]

This needs to get much more view. Just 31k views in 7 months of a precious video is not acceptable. Sorry but I don't understand society now.

[ladripper]

At 1:33 you can practically see that y=6. Testing it out proves that that's a solution to the substituted problem

[Matthew_Klepadlo]

So there’s three solutions: two imaginary solutions and one real solution.

[Math_Rap_and_GOP_Politics]

Bro's videos are always so simplistic. I'm a college algebra professor and we teach this in Algebra class. It's simply a substitution then utilizing the Rational Root theorem.

[Thebiggestgordon]

I like the part where you conveniently summon the factorisation of the cubic from nowhere lol. It took me a hot while to do it by hand.

[draido-dev]

seems like something Mr. josh will give me for homework!

[mervan]

Really it was a beautiful video, thank you!

[kdance]

HI, you could have saved the work by converting it into a depressed cubic with 2^x=w giving us : w^3 + w -222=0.It would too get the samw answer of Log 6 base 2 or approx. =2.58

[Geeta_Kumauni]

I've figured out a way by which we can find the valus of y in y^n - y - 1 = 0

[yolandbokwe]

2^x(2^2x+1)=6(6^2+1)
Equating coefficient
2^x=6
2^2x=37

[fredthechicken]

someone please tell me what im doing wrong, first I log base 2 each side and get 3xlog(base2)2 + xlog(base2)2 = log(base2)222, then i simplify to 4x = log(base2)222 and then x = log(base2)222/4.

[mpandejonasshane]

Hey Mr..is calculus 1 classes covered in the first year or second year ??

[joshuanugentfitnessjourney]

Am i the only one that tried to use Ln to make it into a polynomial?

[Cynfanatic]

This would mean based on the simplified equation y^3 + y = 222, that y = 6, so this means the x-th root of 6 = 2.