SOLUTION: Why isn't there a solution for the following equation: x + square root of: (x squared - 20) = 2

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Question 1194799: Why isn't there a solution for the following equation:
x + square root of: (x squared - 20) = 2
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x%2Bsqrt%28x%5E2-20%29=2
Maybe try solving this to see what happens.

sqrt%28x%5E2-20%29=2-x
x%5E2-20=%282-x%29%5E2
x%5E2-20=4-4x%2Bx%5E2
-20=4-4x
-5=1-x
-6=-x
x=6

Does this satisfy the original given equation or not?