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swin2013
 3 years ago
Simplify
swin2013
 3 years ago
Simplify

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swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1\[\frac{ 2x }{ 4\pi }+ \frac{ 1x }{ 2 }\]

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1is that really \(\pi\) in the denominator of 1st fraction ?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1now 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 ??

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1i got up to \[\frac{ xpix }{ 2\pi} = 1/2\]

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

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1i forgot one important thing. the equation is equal to zero. and i'm solving for x

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

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1so was my step right so far?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1u got 1/2, but its actually, pi/(pi1)

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1equal to zero? my teacher did the same thing as me.. but i didn't write the last part leading towards the answer.

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1i crossed multiply \[\frac{ 4x }{ 8\pi } + \frac{ 4\pi  4pix }{ 8\pi } = 0\]

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1i split the equation up also

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1the i got \[\frac{ x }{ 2\pi }  \frac{ \pi }{ 2\pi } = 1/2 \]

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1the \[\frac{ \pi }{ 2 reduces to 1/2 and i brought it over...

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1but u cannot cancel pi, the first term had x in it, not pi.

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1yes... and i'm solving for it. i haven't found the answer further than that step

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1what 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

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1how did u get 1/2 ...and where did your 8 go from denominator ?

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1that 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

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1i'm basically trying to isolate the x as much as possible

hartnn
 3 years ago
Best 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.

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1yea, but it's easier for me to visualize it. instead of clutter i wanted to separate the fractions

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1ok, 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, \(\large x=\frac{1}{1/\pi1}=\frac{\pi}{\pi1}\)

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1ok, 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, \(\large x=\frac{1}{1/\pi1}=\frac{\pi}{\pi1}\)

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1so i multiply the top and bottom by 2pi to get rid of it in the denominator?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1yes, u can do that also, that will lead to same answer.

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1as i said, i multiplied both sides by 2

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1as i said, i multiplied both sides by 2

satellite73
 3 years ago
Best 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

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.0you would get \[\frac{2x+2(1x)}{4\pi}\]

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1i got x = \[\frac{ \pi }{ 1\pi }\]

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1 pi / 1pi = pi / 1+pi

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1there must be slight error in minus sign, its pi/(pi1)

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1no, i subtracted 1/2 from both sides and it was 1/2

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1then i multiplied both sides by 2pi which made it pi.

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1so i got \[x  pix = pi\]

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1both those steps are correct. u get x(1pi)=pi x=pi/(1pi) = pi/(pi1)

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1then i factored out the x. \[x(1\pi) = \pi \] \[x = \frac{ \pi }{ 1\pi } \]

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1yes so its pi/(1pi) which is same as pi/(pi1)

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1are you sure? if you take out the negative, wouldn't the denominator be 1+ pi?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1nopes it would not be 1+pi. it will be pi1 (1pi) = pi1 yes, sure.

swin2013
 3 years ago
Best ResponseYou've already chosen the best response.1ok i see you flipped it around. lol
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