SOLUTION: Can you please help me with this problem: {{{ sqrt( x+9 )- sqrt(x-4) = 1}}}

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Question 494960: Can you please help me with this problem: ++sqrt%28+x%2B9+%29-+sqrt%28x-4%29+=+1
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
++sqrt%28+x%2B9+%29-+sqrt%28x-4%29+=+1
++sqrt%28+x%2B9+%29+=++sqrt%28x-4%29+%2B+1
Square both sides
+x+%2B+9+=+x+-+4+%2B+2%2Asqrt%28+x+-+4+%29+%2B+1+
+12+=++2%2Asqrt%28+x+-+4+%29+
Square both sides
+144+=+4%2A%28x+-4%29+
+x+-+4+=+36+
+x+=+40+
check:
++sqrt%28+40%2B9+%29-+sqrt%2840-4%29+=+1
+sqrt%2849%29+-+sqrt%2836%29+=+1+
+7+-+6+=+1+
OK