SOLUTION: {{{ sqrt x+2 - sqrt x-3 = 1 }}}

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Question 367892: +sqrt+x%2B2+-+sqrt+x-3+=+1+
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%28+x%2B2%29+-+sqrt+%28x-3%29+=+1+
+sqrt+%28x%2B2%29+=+sqrt+%28x-3%29+%2B1+,
x%2B2+=+x-3%2B2%2Asqrt%28x-3%29+%2B+1, after squaring both sides.
4+=+2%2Asqrt%28x-3%29, after transposition and cancellation.
2+=+sqrt%28x-3%29,
4 = x-3, after squaring again, or
x = 7. This value satisfies the original equation, so this is the final answer.