已知3a+x等于a/2x+3的解为x等于4,求a-2a+3a-4a+5a-6a+...+99a-100a

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已知3a+x等于a/2x+3的解为x等于4,求a-2a+3a-4a+5a-6a+...+99a-100a
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已知3a+x等于a/2x+3的解为x等于4,求a-2a+3a-4a+5a-6a+...+99a-100a
已知3a+x等于a/2x+3的解为x等于4,求a-2a+3a-4a+5a-6a+...+99a-100a

已知3a+x等于a/2x+3的解为x等于4,求a-2a+3a-4a+5a-6a+...+99a-100a
将x=4代入,有 3a + 4 = a/2*4 + 3,故 a = -1.
a - 2a + 3a - 4a + ...+ 99a - 100a = (a - 2a) + (3a - 4a) + ...(99a - 100a) = - 50a = 50.