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OpenStudy (anonymous):
\[x - 5\sqrt{x} +6=0\]
OpenStudy (anonymous):
Like the last one, get 5sqrt(x) by itself on one side of the equation, and then square both sides.
OpenStudy (anonymous):
wired is right :)
OpenStudy (anonymous):
lol well so far i got \[x-6=5\sqrt{x}\]
OpenStudy (anonymous):
and idk where to go from there
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OpenStudy (anonymous):
divide both sides by 5 :)
OpenStudy (anonymous):
but i thought you had to square something or something like that
OpenStudy (anonymous):
isolated for sqrt(x) you not there yet div by 5 first
OpenStudy (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.
OpenStudy (anonymous):
that is also true :)
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OpenStudy (anonymous):
\[(x-6)^{2} = (5\sqrt{x})^{2}\]
OpenStudy (anonymous):
how do i do \[(5\sqrt{x})^2\]
OpenStudy (anonymous):
well
(a*b) ^n is a^n*b^n right?
OpenStudy (anonymous):
yes so the first is 25 and i still dont kno the second part
OpenStudy (anonymous):
25*x :)
sqrt(x)^2 is x :)
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OpenStudy (anonymous):
oh lol im dumb lol
OpenStudy (anonymous):
no you not :)
OpenStudy (anonymous):
ha ha well i think so but thanks anyway :)
OpenStudy (anonymous):
are not :P now finish the q :)
OpenStudy (anonymous):
so i got\[x-36=25x\]
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OpenStudy (anonymous):
?????
OpenStudy (anonymous):
that dont look right
OpenStudy (anonymous):
oh wait i did it wrong sorry lol
OpenStudy (anonymous):
x-36=25x???
OpenStudy (anonymous):
(x−6)^2 is (x-6)*(x-6) use foil or whatever method you prefer.
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OpenStudy (anonymous):
my head hurts
OpenStudy (anonymous):
Just as an FYI, here's another way to look at squaring a square root:
Note that:
\[\LARGE (X^{S})^{T} = X^{ST}\]
\[\LARGE \sqrt{x} = x^{1/2}\]
\[\LARGE (\sqrt{x})^{2} = (x^{1/2})^{2}=x^{(1/2)(2)} = x^{1}\]
OpenStudy (anonymous):
does this thing have no solution!!??? lol cuz thts wat it seems like!