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> 解下列方程:xx-2=3(x-2)x+2.-数学
解下列方程:xx-2=3(x-2)x+2.-数学
题目简介
解下列方程:xx-2=3(x-2)x+2.-数学
题目详情
解下列方程:
x
x-2
=
3(x-2)
x
+2
.
题型:解答题
难度:中档
来源:不详
答案
去分母得:x2=3(x-2)2+2x(x-2),
去括号得:x2=3x2-12x+12+2x2-4x,
移项,合并同类项得:4x2-16x+12=0,
整理得:x2-4x+3=0,
解得:x1=3,x2=1,
检验:把x1=3,x2=1代入最简公分母x(x-2)≠0,
∴原方程的解为:x1=3,x2=1.
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题目简介
解下列方程:xx-2=3(x-2)x+2.-数学
题目详情
答案
去括号得:x2=3x2-12x+12+2x2-4x,
移项,合并同类项得:4x2-16x+12=0,
整理得:x2-4x+3=0,
解得:x1=3,x2=1,
检验:把x1=3,x2=1代入最简公分母x(x-2)≠0,
∴原方程的解为:x1=3,x2=1.