you need to find k so that simplifying the equation to x^2+4x+1+k is a double root
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Phi Kappa Chi ΦΚΧ <a:yeah:589703000977571860><a:ppHop:536353159615086612>
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Friday, April 21, 2017
so 2+3=-x+k
wtf
make that x^2+4x+1-k
I think I get it
yeah -x+k=x^2+3x+1
you need to find k so that the equation equals (x+C)^2
and then their derivatives should be = too
I got this
no derivatives are needed, its just completing the square
fuck that
you did completing the square in geometry, right?
k=-3
yes
dont remeber it at all but I have heard of it
idk but my way worked
(x+2)^2=x^2+4x+4
I took the derivatives of both equations and set them =
meaning there's only one point of intersection
meaning its tangent
and solved for x
that works too
then I set the equations = and pluged in x
so you factored out an x+2
completed the square
however you do that
your way seems more complicated
my way doesn't use calculus, which means i don't have to think as hard before bed
its also only viable because of the 4x term being nice
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actually that's a lie
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