SOLUTION: Examine if the following eqns have any solution or not. 1) |x| = x+5 2) |x| = x -5

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Examine if the following eqns have any solution or not. 1) |x| = x+5 2) |x| = x -5       Log On


   

Question 77619: Examine if the following eqns have any solution or not.
1) |x| = x+5
2) |x| = x -5
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1) |x| = x+5
For x>=0, x=x+5 has no solution
for x<0, -x=x+5, -2x=5, x= -5/2 is a solution.
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2) |x| = x -5
For x>=0, x=x-5 has no solution
For x<0, -x=x-5, -2x=-5, x=5/2
But that contradicts x<0; So, no solutions.
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Cheers,
Stan H.