The solution set of the equation |x-14| = |x +14| is?

Question

shubhamsrg · Answer

0 is the only soln..
x-14 = x+14
and x-14 = (-x+14)

anonymous · Answer

Isn't when we solve a mod we do like this:

|x-14| = |x +14| 

x-14 = $$\pm $$ (x +14)

So,

shubhamsrg · Answer

i did nothing different mam..

anonymous · Answer

um.............u l have three cases if u wanna do it that way|dw:1340008416414:dw|

anonymous · Answer

x-14 = x+14 

Then expand with negative

X-14 = -x-14 ???

@shubhamsrg

shubhamsrg · Answer

i meant that you'll have to solve both eqns separately..
both will yield x=0

anonymous · Answer

I dont get it :(

shubhamsrg · Answer

hmmn..
you have this,,
firstly,,x+14 = x-14
solving gives no value of x..(am sorry,,not 0)
next eqn is (x+14)= -(x-14)
now you'll x=0
was it clearer this time mam ?

anonymous · Answer

Yep Thank you so much, but why are you calling me mam? Please dont do :)

shubhamsrg · Answer

lol.. XD sorry MAM! :P

anonymous · Answer

another way you might consider is looking at the graphs of the left side and right side.... they only intersect at x= 0....
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