问题
解答题
利用换元法解下列方程: (1)(x+2)2+6(x+2)-91=O; (2)x2-(1+2
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答案
(1)(x+2)2+6(x+2)-91=O;
设x+2=y,则原方程可变形为:
y2+6y-91=0,
解得:y1=7,y2=-13,
当y1=7时,x+2=7,
x1=5,
当y2=-13时,x+2=-13,
x2=-15;
(2)x2-(1+2
)x-3+3
=0,3
[x-(3+
)][x+(2-3
)]=0,3
x-(3+
)=0,x+(2-3
)=0,3
x1=3+
,x2=-2+3
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