Simplifying the equation:
(x - 2)^2 + (x - 2)^2 = 5
2(x - 2)^2 = 5
(x - 2)^2 = 5/2
Taking the square root of both sides:
√((x - 2)^2) = √(5/2)
|x - 2| = √(5/2)
The absolute value represents two possibilities:
1) x - 2 = √(5/2)
x = √(5/2) + 2
2) x - 2 = -√(5/2)
x = -√(5/2) + 2
Therefore, the solutions to the equation are x = √(5/2) + 2 and x = -√(5/2) + 2.
a) (x - 2)^2 + (x - 2)^2 = 5
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