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某校主编的《数学复习与题解》第149页有这样的一道题,“如果m为有理数,试确定k的值,使方程x~2-4(m-1)x+3m~2-2m+2k=0的根为布理数。”书中的解法是:“原方程的判别式:Δ=16(m-1)~2-4(3m~2-2m+
A book titled “Mathematics Review and Problem Solving” on page 149 contains the following question: “If m is a rational number, try to determine the value of k so that the equation x~2-4(m-1)x+3m~2-2m The root of +2k = 0 is the rational number.” The solution in the book is: "The discriminant of the original equation: Δ = 16 (m-1) ~ 2-4 (3m ~ 2-2m +