SOLUTION: √(x + 4) > 2 + √x

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Question 1159695: √(x + 4) > 2 + √x
Found 2 solutions by MathLover1, solver91311:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

........square both sides





or
-> since , inequality will be true only if
=> so, no solution exist because for all real numbers


Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!




Square both sides:



Add to both sides:



Multiply both sides by



Square both sides



Which is to say:



However, this result must be discarded because the most restrictive domain is the domain of the right-hand side expression, namely



Therefore the solution set is the null set over the reals.


John

My calculator said it, I believe it, that settles it


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