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swin2013Best ResponseYou've already chosen the best response.1
\[\frac{ 2x }{ 4\pi }+ \frac{ 1x }{ 2 }\]
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
is that really \(\pi\) in the denominator of 1st fraction ?
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
now we have to make the denominator common , so we need to multiply and divide by 2\(\pi\) in 2nd fraction to get 4\(\pi\)as common denominator . \(\huge\frac{2x}{4\pi}+\frac{2\pi(1x)}{4\pi}\) now can u solve further ??
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
i got up to \[\frac{ xpix }{ 2\pi} = 1/2\]
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
nopes, \(\huge\frac{2x}{4\pi}+\frac{2\pi(1x)}{4\pi}=\frac{2x+2\pi(1x)}{4\pi}=\frac{x+\pi\pi x}{2\pi}\) u can't simplify it further.
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
i forgot one important thing. the equation is equal to zero. and i'm solving for x
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
okay, so it will be \(\huge x+\pi\pi x=0 \implies x(1\pi)=\pi \\\huge x=\frac{\pi}{1\pi}or\frac{\pi}{\pi1}\)
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
so was my step right so far?
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
u got 1/2, but its actually, pi/(pi1)
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
equal to zero? my teacher did the same thing as me.. but i didn't write the last part leading towards the answer.
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
i crossed multiply \[\frac{ 4x }{ 8\pi } + \frac{ 4\pi  4pix }{ 8\pi } = 0\]
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
i split the equation up also
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
the i got \[\frac{ x }{ 2\pi }  \frac{ \pi }{ 2\pi } = 1/2 \]
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
the \[\frac{ \pi }{ 2 reduces to 1/2 and i brought it over...
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
but u cannot cancel pi, the first term had x in it, not pi.
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
yes... and i'm solving for it. i haven't found the answer further than that step
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
what are you talking about cancel? i didn't cancel anything other than the pis... which was pi/2pi... they're in common? this part i know for sure is right. i don't know how to get after that
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
how did u get 1/2 ...and where did your 8 go from denominator ?
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
that was a typo. and i reduced \[\frac{ \pi }{ 2\pi } \] to get 1/2 and then i subtracted it on both sides so the equation is equal to 1/2
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
i'm basically trying to isolate the x as much as possible
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
\(\huge \frac{ 4x }{ 8\pi } + \frac{ 4\pi  4\pi x }{ 8\pi } = 0\) u had this correct. then u separated denominator u should get, \(\large \frac{x}{2\pi}+\frac{1}{2}\frac{x}{2}=0\) but this is not the best way to isolate x.
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
yea, but it's easier for me to visualize it. instead of clutter i wanted to separate the fractions
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
ok, so continuing with separating the fraction, you can cancel all the 2's in the denominator(equivalent to multiplying 2 on both sides.) then shifting +1to other side, u get \(\large x(\frac{1}{\pi}1)=1\) which again gives, \(\large x=\frac{1}{1/\pi1}=\frac{\pi}{\pi1}\)
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
ok, so continuing with separating the fraction, you can cancel all the 2's in the denominator(equivalent to multiplying 2 on both sides.) then shifting +1to other side, u get \(\large x(\frac{1}{\pi}1)=1\) which again gives, \(\large x=\frac{1}{1/\pi1}=\frac{\pi}{\pi1}\)
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
so i multiply the top and bottom by 2pi to get rid of it in the denominator?
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
yes, u can do that also, that will lead to same answer.
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
as i said, i multiplied both sides by 2
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
as i said, i multiplied both sides by 2
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
\[\frac{ 2x }{ 4\pi }+ \frac{ 1x }{ 2 }\] is not an equation. there is nothing to "solve" for you can add however, by finding the lcd is \(4\pi \) and adding
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
you would get \[\frac{2x+2(1x)}{4\pi}\]
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
i got x = \[\frac{ \pi }{ 1\pi }\]
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
 pi / 1pi = pi / 1+pi
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
there must be slight error in minus sign, its pi/(pi1)
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
no, i subtracted 1/2 from both sides and it was 1/2
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
then i multiplied both sides by 2pi which made it pi.
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
so i got \[x  pix = pi\]
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
both those steps are correct. u get x(1pi)=pi x=pi/(1pi) = pi/(pi1)
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
then i factored out the x. \[x(1\pi) = \pi \] \[x = \frac{ \pi }{ 1\pi } \]
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
yes so its pi/(1pi) which is same as pi/(pi1)
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
are you sure? if you take out the negative, wouldn't the denominator be 1+ pi?
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
nopes it would not be 1+pi. it will be pi1 (1pi) = pi1 yes, sure.
 one year ago

swin2013Best ResponseYou've already chosen the best response.1
ok i see you flipped it around. lol
 one year ago
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