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@Vocaloid @iGreen @wio @Kainui
complete the square
do you know how to do that?
Umm, kind of. Could you help walk me through it?
Ok, so I'm not sure where to start...
sorry about that
first step is to move the -3 to the other side of the equation
No problem :)
so add 3 to both sides to get x^2 - 2x = 3
Ok, so it would read x^2 - 2x = 3?
Oh, wait that's what you put lol
Ok, and then I might try to factor?
now divide the -2x by -2
this gives you 1
then you square 1 and put it back into the equation
Wait, I think I got lost somewhere. So after you divide the -2x by -2, you have to divide the other side of the equation by -2 which gives you the equation x^2 - x = -1.5. Right?
no, not when completing the square. we are only looking at the right side of the equation right now
sorry, i meant the left side of the equation
Hmmm, I'm still lost.
all we are doing is adding a number to the left side of the equation so we get a factor for x with multiplicity 2
we then add that same number to the right side of the equation
i think you will understand it when I go through all the steps
so we added 1 to x^2 - 2x on the left side of the equation. since we added 1 to one side of the equation, we now add 1 to the other side
Ok, so now the equation is x^2 + 1 = 4
the -2x is still there
Wait I meant x^2 -2x + 1 = 4
thats right, now factor x^2-2x+1
I think this is where I get lost
I know how to factor but this one is different lol I guess
ok, what two numbers multiply together to get 1
1 and 1
add them together
its suppose to add to -2 so 1 and 1 doesn't work.
Oh, ok so it would have to be -1 and -1
what other 2 numbers multiply together to get 1
so what does the equation look like factored?
Oh, I think I got it (maybe)! Is it (x - 1)^2 = 4?
good job! :)
Yay! Thank you so much @10115658 It makes perfect sense now. :) I am now officially a fan ;)
Tttyl and thanks again :)