Find the roots of the equation: |x|=x+1

[Math Tutor]

Find the roots of the equation:
|x|=x+1

[graviteja]

Find the roots of the equation:
|x|=x+1

x+1=0
x=-1

[Math Tutor]

The solution is wrong.

[MV RAO]

Find the roots of the equation:
|x|=x+1

x+1=0
x=-1

|x| can mean x can be x or -x. But if it is x, there is no solution (x = x +1 does not give any solution). So assume -x. then -x = x + 1 or 2x = -1 or x = -1/2. To check
|-1/2| = -1/2 + 1, which is correct.

[perfectmath]

Find the roots of the equation:
|x|=x+1

Here is my solution:

• If [tex]x=x+1[/tex], we can't find [tex]x[/tex].
• If [tex]x=-(x+1)[/tex] implies [tex]x= \frac{1}{2}[/tex]

So the answer is [tex]x= \frac{1}{2}[/tex].