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1). Given that the roots of the equation x^2 + ax + ( a + 2) = 0 differ by 2, find the possible values of the constant a. Hence state the possible values of the roots of the equation.

2). Given that the equation (4k + 1)^2 - (k + 10)x + 2k = 0 has repeated root, calculate the possible values of the constant K.

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