Math, asked by appleora, 10 months ago

find those x satisfying each of the equation below.|x|=|x+1|

Answers

Answered by sprao534
0
Please see the attachment
Attachments:

Amoy: There doesn't exist any x value which satisfies the equation!
sprao534: 0!=1,even 1=1+1 which is impossible.
Amoy: Buy only valid for ø set !! Do you agree with me ?
Amoy: Because there is no element in ø set .
sprao534: x is a real number. the solution set consists of - 1/2
sprao534: it is not empty set
Amoy: I am saying that for the equation x=x+1 the solution set is empty that means ø set !!
Amoy: Do you agree with it ??
sprao534: what i am saying x=x+1 is impossible for any value of x. we need not consider it.
Amoy: Okay
Answered by Amoy
25
Answer -
x = - \frac{1}{2}

Answer key -
For , |x| = |x+1|
there are two possibilities-
1) x = x+1
2) x = -(x+1)
After solving both equations, take the union result of the both solution of the equations !!

Hope it helped !!
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