Question

|4-3x|=|x-6|

Answer 1

问：|4-3x|=|x-6|

答：解方程|4-3x|=|x-6|当x-6≥0时即Ⅹ≥6时|4-3x丨=x-64-3x=x-64x=10x=2.5(舍去)-4+3x=x-62x=-2x=-1(舍去)

答：当x-6<0时，即x<6时丨4-3x|=6-x4-3x=6-x2x=-2x=-13x-4=6-x4x=10x=2.5

答：即x=2.5或x=-1

答：正确答案是解方程|4-3x|=|x-6|当x-6≥0时即Ⅹ≥6时|4-3x丨=x-64-3x=x-64x=10x=2.5(舍去)-4+3x=x-62x=-2x=-1(舍去)当x-6<0时，即x<6时丨4-3x|=6-x4-3x=6-x2x=-2x=-13x-4=6-x4x=10x=2.5即方程|4-3x|=|x-6|的解为x=2.5或x=-1