1) If t be a real number satisfying the equation 2t3 - 9t2 + 30 - a, then find the values of the parameter 'a' for which the equation x + 1x = t gives six real and distinct values of x.
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106the question essentially implies that find the values of a such that the function has all real roots and the values of 't' lie in the interval R - [-2,2].