SOLUTION: √x-3 = √x+2 - 1

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Question 309847: √x-3 = √x+2 - 1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x-3%29+=+sqrt%28x%2B2%29+-+1
Square both sides, FOIL the right side
x - 3 = %28x%2B2%29+-+1sqrt%28x%2B2%29+-+1sqrt%28x%2B2%29+%2B+1
:
x - 3 = x+%2B+2+%2B+1+-+2sqrt%28x%2B2%29
:
x - 3 = x+%2B+3+-+2sqrt%28x%2B2%29
:
x - 3 - x - 3 = -2sqrt%28x%2B2%29
:
-6 = -2sqrt%28x%2B2%29
Square both sides
36 = 4(x+2)
:
36 = 4x + 8
:
36 - 8 = 4x
:
28 = 4x
x = 28%2F4
x = 7
:
;
Check solution in the original equation
sqrt%287-3%29+=+sqrt%287%2B2%29+-+1
sqrt%284%29+=+sqrt%289%29+-+1
2 = 3 - 1; confirms our solution