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解关于x的方程(m-1)x平方-(8m-3)x+15m=0

题目详情
解关于x的方程(m-1)x平方-(8m-3)x+15m=0
▼优质解答
答案和解析
(m - 1) x" - (8m - 3) x + 15m = 0
(m - 1) x" - (3m - 3 + 5m) x + 15m = 0
(m - 1) x" - 3(m - 1) x - (5m) x + 15m = 0
x(m - 1)(x - 3) - 5m (x - 3) = 0
(x - 3)[ x (m - 1) - 5m ] = 0
这样
x - 3 = 0 或 x (m - 1) - 5m = 0 就都是方程的解
x1 = 3
x (m - 1) = 5m
x2 = 5m / (m - 1)