Solving a Quartic Equation with Quadratic Techniques

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[@sodical6507]

I'm watching this instead of doing my maths and applied maths homework good thing there's a hurricane coming to Ireland and school is closed tomorrow

[@nomnomnom55555]

Stay safe my dude.

[@wasabimir952]

4 years late but how’s that a good thing lol

[@Shadowgamer-gl3tz]

4 years later What happened to your maths homework

[@llamaz2357]

I hope you stay safe.

[@victort.4798]

I'm only in 9th grade Algebra 2 but this actually made sense. And even though my math class itself is a bit stressful I found this video soothing. Thank you!

[@alanbannister1874]

Fantastic. I heard about this teacher while I was in my communications class at UWA.

[@djbokasuja]

YOU ARE SO AMAZING! Say hi to Brazil!

[@nathanielsharabi]

A fully factored polynomial should always be looked for any symmetry. Theres an x+1 x+2 x+3 x+4 theres a symmetry and if you are willing to investigate it often the answer will be apparent.(here its 1+4 =2+3 Lesson is to not be afraid to side track and dig into the question just because you cant see a way youve traditionally learned.

[@bobbyheffley4955]

Symmetry can suggest a substitution.

[@darcash1738]

My initial way was kinda slow. I tried to create a square term right off the bat, but eventually arrived pretty similarly. At the second step youre on here tho, a more elegant way would be to see they're two away from each other, allowing for (u+1)(u-1) where u is x^2+5x+5.

[@Rócherz]

*5:14** “The most important part in mathling is the choosing, not the actual computing.”*

[@iloveyousoniwillneverleave9653]

ah yes, i love mathling.

[@probro5692]

math problem

[@jayveeaurea9091]

If you expand the whole equation you get: x^4+10x^3+35x^2+50x+24=5x^2+25x+18 😬😆

[@PegasusTenma1]

There’s a much better way to expand it

[@sebastiang108]

Eddie what grade do you teach to?

[@leprechaunos]

What do you think about solving quartic equations with ferrari's method?

[@AG-kl6ds]

Should you end up with 4 values for x?

[@danilocho616]

Andrew G you'll get 2 answers for "a", then u ll have to substitute a for x^2 + 5 = a. At the end u should find 2 answers for each "a", 4 possible values for x

[@PegasusTenma1]

There should be 4 values, real and complex, yes.

[@christopherellis2663]

Please, sir, I can't read what's on the board

[@FREEZarts]

why am i here i don't even study math i have highschool level

[@idolgin776]

Very neat!

[@Webemonkeying]

What can we do freak out

[@mathmanelesawy7134]

Ur way is good for upper grades

[@joesiu4972]

MAGIC WHAT THE HELL

[@jcs99100]

woah... that was insane o.o it's so easy!

[@PegasusTenma1]

Found a way to solve it just by watching 1 second of the clip. The trick is to multiply the left hand side in such a way that you get common terms. So here (X-1)(X-4) are the perfect pairs, and the other two remaining ones are the perfect pair. Getting a common terms X^2-5X on both sides is good since that can be substituted

[@nousername5673]

Thanks for summarizing the video.

[@prasannamadabhave4405]

Plz find the values of A,a,b,c,d if f(0)=4 and f(x)= A(x-a)(x-b)(x-c)(x-d) Plz post detailed solution

[@rafiihsanalfathin9479]

Aabcd=4, there is infinite pairs of A,a,b,c,d that solves this

[@llamaz2357]

I love you, please marry me Mr Eddie Woo

[@llamaz2357]

I love him aswell

[@llamaz2357]

I like fortnite

[@raineel1996]

hi broe

[@raineel1996]

studying for math test tmr ggs

[@kAngeLxD]

I tried to solve it and got u=-2 and u=-3 making x^2+5x=-2 or -3, which is impossible to solve? Can someone help wit h the further solutions please

[@kAngeLxD]

Are the solutions x=-2.5+-√9.25 and x=-2.5+-√8.25 ??

[@TheHuesSciTech]

@@kAngeLxD You're almost exactly correct -- except I think you forget to rearrange it into a proper quadratic formula first. The equations you get are x^2 + 5x + 2 = 0 and x^2 + 5x + 3 = 0. Notice the 2 and 3 are positive because you moved them over to the other side of the equal sign. Either way, you ended up adding instead of subtracting inside the square roots, so you got √9.25 and √8.25, when you should have had √3.25 and √4.25. Everything else you did was right though, the final answer is x = −2.5 ± √3.25 and/or x = −2.5 ± √4.25

[@TheHuesSciTech]

Just to clarify, your original message "I tried to solve it and got u=-2 and u=-3 making x^2+5x=-2 or -3" is 100% correct. It's just that x^2 + 5x = −2 turns into x^2 + 5x + 2 = 0, then you apply the quadratic formula. (Same for the 3 case of course.)

[@prathikpawar5582]

You have a cold

[@lisakam19]

😂😂😂