Solve the Quadratic Equation 12 = x^2 + x by Factoring

Solve the Quadratic Equation 12 = x^2 + x by Factoring

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Thank you:)

[bolbans]

Revising it in this video not doing anything for years, now I finally understand how it works instead of cramming!

[pinedelgado]

It's been a while since I've dealt with quadratic equations. So your video was a kind of refresher course for me. Thank you so much, Math Sorcerer, for narrating, producing and posting this video!! :) :) :) :)

[librahawkins]

I got it right! (Solved it then watched the vid) 😄

[Nobel]

OK, very nice vid:), in order to factor we have to ask our selves this question:

What are the factors of the third term that when added together I get 1 and when multiplied I get -12:

factor of 12 sum of factors
-12 1 -11
6 -2 4
-4 3 -1
-6 2 -4
-3 4 1

We can conclude that -3 & 4 are the required factors.

Notice: This is useful when the first term's coeffecient is equals to one. So it is always recommended to balance your equation before doing this :)

You want to know why ? ok try this and conclude :D 4x²+10x+4

Really thank you so much our friend the math sorcerer for this vid.
Bye

[brrrrrrruh]

Waw so cool. Id really like a vid how to add 2 + 5 by adding, would be interesting!

[arjunkrishnadas]

Hi Sorcerer, i remembered to re write as (x+1/2)^2 -(7/2)^2 = 0 and find the solution, from your lesson on your blog. Thanks! 🙂

[StewieGriffin]

number theory approach

12 - perfect square less than 12
for all perfect square find the number that is a base of that perfect square