The Math Man and Completing the Sqaure
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- What a boring day, no one needs any math help
- Man Is that Completing the square stuff annoying, Mr Sam needs to explain it better
- DId I hear something about Completing the Square young Man? If so then have no worry the Math man is here to help
- Let't take a little walk then young man, shall we?
- No way it's you!! The math man, yes sir you heard me right I need help completing the square
- Alright young man lets take a look at an example, 3x^2-6x+5 for instance. the first thing we need to is separate the 3 and put everything else in the brackets so it would be 3(x^2x-6x+5), then we simply divide the coefficient, which is 3, by the middle term, making sense so far?
- Hmm, a little bit, keep on going
- Great! keep listening, now we need to add and subtract that 1 into the brackets as well as put that 5 outside of the brackets to get 3(x^2-2+1-1)+5
- Alright so now we have 3(x^2-2+5) and we now need to take that -2 and do (-2/2)^2 which will give us -1^2 , which is 1
- It's starting to click now, I think I am getting it
- Ok Young man we are reaching the end here now we must factor the first three parts of the brackets using the number you got when diving -2 by 2 which will give you 3[(x-1)^2-1]+5
- I am getting there, to get the -1 out of the brackets we have to multiply the coefficient in 3 by everything inside the brackets which will give us 3(x-1)^2-3+5
- What about that -1 and +5, what do we do to those?
- And now for the final step young man, we simply solve whats outside the bracket which -3+5 giving us our final answer of 3(x-1)^2+2
- Haha, No problem young man just come back anytime you need some help
- WOW!!!, You really do have teaching powers Math man, I get it now!!!!!
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