SOLUTION: sqrt(x+1)+sqrt(x-1)=sqrt(2x+1)
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Question 991173: sqrt(x+1)+sqrt(x-1)=sqrt(2x+1)
Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
.
+ = .
Square both sides:
+ + = .
Simplify:
+ = ,
= .
Square both sides again:
= .
= = ,
= ,
x = +/- .
Only positive root suits the original equation (remember about the term ).
Answer. x = .
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