若2x+|4-5x|+|1-3x|+4恒为常数,求x应满足的条件及常数的值

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若2x+|4-5x|+|1-3x|+4恒为常数,求x应满足的条件及常数的值若2x+|4-5x|+|1-3x|+4恒为常数,求x应满足的条件及常数的值若2x+|4-5x|+|1-3x|+4恒为常数,求x

若2x+|4-5x|+|1-3x|+4恒为常数,求x应满足的条件及常数的值
若2x+|4-5x|+|1-3x|+4恒为常数,求x应满足的条件及常数的值

若2x+|4-5x|+|1-3x|+4恒为常数,求x应满足的条件及常数的值
2x+(4-5x)-(1-3x)+4=3与x无关,恒为常数
即要求x的系数之和为零
所以4-5x>0,1-3x

当x>4/5时,原式=2X+5X-4+3X-1+4=10X-1不符合题意
当1/3当X<1/3时,原式=2X+4-5X+1-3X+4=9-6X不满足题意
所以1/3

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