SOLUTION: Solve for x: {{{sqrt(x+7) + sqrt(x+2) = sqrt(x-1) - sqrt(x-2)}}} When I solve the above equation, I get x = 2; but when I verify my answer by substituting the value of x in the

Question 54627: Solve for x:

When I solve the above equation, I get x = 2; but when I verify my answer by substituting the value of x in the original equation, it is not matching. I tried a few times to solve using different methods and I am always getting the same value of x as 2. What am I doing wrong?
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!

Squaring both sides

Squaring again

Clearly no root of this equation is equal to 2. The roots are & -2 i.e. & -2.
So all values of the x are negative. So the given equation is no longer valid in real domain.
Note that the equation is satisfied by x=2 if it is and not
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