anonymous
  • anonymous
need help!
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[x - 5\sqrt{x} +6=0\]
anonymous
  • anonymous
Like the last one, get 5sqrt(x) by itself on one side of the equation, and then square both sides.
anonymous
  • anonymous
wired is right :)

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anonymous
  • anonymous
lol well so far i got \[x-6=5\sqrt{x}\]
anonymous
  • anonymous
and idk where to go from there
anonymous
  • anonymous
divide both sides by 5 :)
anonymous
  • anonymous
but i thought you had to square something or something like that
anonymous
  • anonymous
isolated for sqrt(x) you not there yet div by 5 first
anonymous
  • anonymous
You can do it either way actually. I find it simpler to square both sides at that point so you don't have to deal with fractions. Those fractions would cancel out later anyway, so no need to introduce them in the first place.
anonymous
  • anonymous
that is also true :)
anonymous
  • anonymous
\[(x-6)^{2} = (5\sqrt{x})^{2}\]
anonymous
  • anonymous
how do i do \[(5\sqrt{x})^2\]
anonymous
  • anonymous
well (a*b) ^n is a^n*b^n right?
anonymous
  • anonymous
yes so the first is 25 and i still dont kno the second part
anonymous
  • anonymous
25*x :) sqrt(x)^2 is x :)
anonymous
  • anonymous
oh lol im dumb lol
anonymous
  • anonymous
no you not :)
anonymous
  • anonymous
ha ha well i think so but thanks anyway :)
anonymous
  • anonymous
are not :P now finish the q :)
anonymous
  • anonymous
so i got\[x-36=25x\]
anonymous
  • anonymous
?????
anonymous
  • anonymous
that dont look right
anonymous
  • anonymous
oh wait i did it wrong sorry lol
anonymous
  • anonymous
x-36=25x???
anonymous
  • anonymous
(x−6)^2 is (x-6)*(x-6) use foil or whatever method you prefer.
anonymous
  • anonymous
my head hurts
anonymous
  • anonymous
Just as an FYI, here's another way to look at squaring a square root: Note that: \[\LARGE (X^{S})^{T} = X^{ST}\] \[\LARGE \sqrt{x} = x^{1/2}\] \[\LARGE (\sqrt{x})^{2} = (x^{1/2})^{2}=x^{(1/2)(2)} = x^{1}\]
anonymous
  • anonymous
does this thing have no solution!!??? lol cuz thts wat it seems like!
anonymous
  • anonymous
ohk thnk u
anonymous
  • anonymous
\[x-6=5\sqrt{x}\] \[(x-6)^{2}=(5\sqrt{x})^{2}\] \[(x-6)(x-6)=25x\] \[x(x-6)-6(x-6)=25x\]
anonymous
  • anonymous
Do you see what to do now?
anonymous
  • anonymous
distribute?
anonymous
  • anonymous
Yep

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