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OpenStudy (anonymous):
4/x + 1/x-2 =1 Please give me an answer! I need a hero here!! I'm running out of time.
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OpenStudy (anonymous):
He's gotta be strong
And he's gotta be fast
And he's gotta be fresh from the fight!
OpenStudy (anonymous):
\[\frac{4}{x} + \frac{1}{x-2} = 1?\]
OpenStudy (anonymous):
yes :)
OpenStudy (anonymous):
\[\frac{4x -8}{x(x-2)} + \frac{x}{x(x-2)}\]
OpenStudy (anonymous):
\[\frac{5x-8}{x(x-2)}\]
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OpenStudy (anonymous):
4/x + 1/(x-2) = 1
4(x-2)/(x-2)x + x/x(x-2) = 1
[(4x-8)+x]/(x^2 - 2x) = 1
(4x-8)+x = (x^2 - 2x)
5x-8 = x^2 - 2x
x^2 - 7x + 8 = 0
(x-8)(x+1)=0
x=8, x=-1
OpenStudy (anonymous):
\[x=\frac{7\pm\sqrt{17}}{2}\]
OpenStudy (anonymous):
*hug* thanks so so so much, wait a sec, if you dont mind. i have more
OpenStudy (anonymous):
go ahead and post
OpenStudy (anonymous):
ok just a sec :)
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OpenStudy (anonymous):
\[2/x^2-3x+2=3x/x-1-x/x-2\]
OpenStudy (anonymous):
\[\frac{2}{x^2-3x+2}=\frac{3x}{x-1}-\frac{x}{x-2}\] like that?
OpenStudy (anonymous):
if so try
\[x=\frac{5\pm\sqrt{41}}{4}\]
OpenStudy (anonymous):
ok be right back... :)
OpenStudy (anonymous):
awesome thanks so much! can you help me with two more? thats all i have left :D
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OpenStudy (anonymous):
\[4x=\sqrt{2x+3}\]
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