Question

solve for u
(- (6)/(4u-16))+2= ((6)/(u-4))

Answer 1

\[(-6/(4u-16))+2=6/(u-4)\]\[(u-4)(-6/(4(u-4))+2)=6\]\[-6(u-4)/4(u-4)+2=6\]
Looks like u cancels out and the equation is unsolvable, since -7/2 does not equal six. Can one of the more experienced folks on here back me up?

Answer 2

everyone seems afraid to answer this one lol

Answer 3

i have 3 different answers lol i got 31/4...23/4...or just 4 lol

Answer 4

\[\frac{-6}{4(u-4)} +2 = \frac{6}{u-4}\]
\[2 = \frac{6}{u-4} +\frac{6}{4(u-4)}\]
\[2 = \frac{24+6}{4(u-4)}\]
\[8(u-4) = 30\]
\[u-4 = \frac{30}{8}\]
\[u = \frac{30}{8}+4 = \frac{62}{8} = \frac{31}{4}\]

Answer 5

well at least you got one of my answers! lol thank you!!!

Answer 6

you mean there are 3 solutions ??

Answer 7

no lol i got 3 solutions
but i know what i did wrong now that i see it solved

Answer 8

ok good, cause i don't see any other possible solutions lol

it can't be 4 cause it makes expression undefined

Answer 9

ok...i made some silly mistakes..why im on here =) thanks!

Answer 10

Dumbcow I'm curious, how do you type out division that way, one thing directly over the other? All I can do is the slash \[6/u-4\]