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Mathematics 20 Online
OpenStudy (aravindg):

what u mean by amplitue of a complex no?

OpenStudy (aravindg):

hi turing do u knw?

OpenStudy (aravindg):

is it the modulus?

OpenStudy (turingtest):

are you sure you don't mean 'magnitude'?

OpenStudy (aravindg):

ys

OpenStudy (aravindg):

i thonk its modulus

OpenStudy (turingtest):

yes modulus=magnitude though I can find nothing that says amplitude=modulus so I can't say for sure

OpenStudy (aravindg):

try this: tell me general steps to be followed while factorizing quadratic eqns with values of a other than 1 like 2x^2-5x-3

OpenStudy (turingtest):

it's all about the middle term you want to break it up so you can factor out the GFC of each pair of terms\[ax^2+bx+c=ax^2+nx+mx+c\]where\[n+m=b\]5x can be written as 4x+x 3x+2x 2x+3x x+4x which of these choices above will allow you two factor something out of each pair of terms?

OpenStudy (aravindg):

bt product should be -3??ryt?

OpenStudy (turingtest):

yes, but I'm trying to teach you a technique called "factoring by grouping" that works for quadratics where the coefficient if the x^2 term is not 1

OpenStudy (turingtest):

so just read my post again and try to answer my question, please :)

OpenStudy (turingtest):

look at the options on how we can rewrite this expression....

OpenStudy (aravindg):

3x+2x?

OpenStudy (turingtest):

dang I had to reload, sorry...

OpenStudy (turingtest):

anyway, I dropped th negative, so the options are -5x= -x-4x -2x-3x -3x-2x -4x-x so your choice is that we should break it up as -3x-2x you say?

OpenStudy (aravindg):

ys

OpenStudy (turingtest):

let's try it...

OpenStudy (aravindg):

k

OpenStudy (turingtest):

plugging that in gives\[2x^2-3x-2x-3\]now look at each \(pair\) of terms...\[2x^2-3x\]leaves us only able to factor an x out\[-2x-3\]leaves us only able to factor out a -1 we can do better than that...

OpenStudy (turingtest):

try breaking the middle term up as\[-2x-3x\]

OpenStudy (aravindg):

both r same

OpenStudy (turingtest):

technically yes, but writing it in this particular way will reveal how to factor this equation that is the nature of the "factoring by grouping" technique

OpenStudy (aravindg):

hmm .. iam getting the taste of this method

OpenStudy (aravindg):

we take 2x common then

OpenStudy (turingtest):

exactly

OpenStudy (aravindg):

tastes good!!

OpenStudy (aravindg):

so we split middle term so that we get 'a'x in one of the parts

OpenStudy (aravindg):

turing?

OpenStudy (turingtest):

yeah I'm sorry... the idea I'm talking about is correct, but I'm pretty sure you are having the same problem that I am with the second pair of terms

OpenStudy (aravindg):

lol

OpenStudy (turingtest):

honestly I learned this method here! lol I always did it by eye before, so I sort of haven't practiced it enough

OpenStudy (aravindg):

that was funny

OpenStudy (turingtest):

so hell, what am I missing? I have to work it backwards....

OpenStudy (turingtest):

you know what, you had it right the first time I was misrepresenting the goal, sorry again use 3x+2x and take -1 common from the second pair

OpenStudy (turingtest):

* -3x-2x

OpenStudy (turingtest):

just take x common for the first pair

OpenStudy (aravindg):

hey i got another way

OpenStudy (turingtest):

I know there are many which are you referring to?

OpenStudy (aravindg):

2x(x-3)+(x-3)

OpenStudy (aravindg):

hws dat??

OpenStudy (turingtest):

it's correct and how did you come to that?

OpenStudy (aravindg):

simple u see i understud the othr one wont work so i took 2x^2 and -3x and supplied neccessary terms

OpenStudy (aravindg):

-6x comes so +x

OpenStudy (aravindg):

then -3 supplied hurray!!

OpenStudy (aravindg):

hey i learnt to cook!!

OpenStudy (turingtest):

yeah, I think you're sort of describing the way I see it I do a little trial and error and you figure out which gives you the right thing to factor out

OpenStudy (aravindg):

ya not exactly trial and error but i think it will be intutiuve after doing more such problems.anyway i learnt the method thanks

OpenStudy (aravindg):

another qn i will post separately come there

OpenStudy (turingtest):

Like I said the first time, no substitute for practice to develop intuition

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