It is known that the reciprocal sum of the two equations x-2x + k = 0 is 8 / 3,

Let two be X1 X2, so X1 + x2 = - B / a = 2, x1x2 = k, because 1 / X1 + 1 / x2 = 8 / 3 (x1 + x2) / x1x2 = 8 / 3, 2 / k = 8 / 3, k = 3 / 4

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