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阅读下列例题:解方程x 2 -|x|-2=0(1)当x≥0时,原方程化为x 2 -x-2=0,解得x 1 =2,x 2 =-1(舍去).
阅读下列例题:解方程x2-|x|-2=0(1)当x≥0时,原方程化为x2-x-2=0,解得x1=2,x2=-1(舍去).当x<0时,原方程化为x2+x-2=0,解得x1=...
阅读下列例题:解方程x 2 -|x|-2=0(1)当x≥0时,原方程化为x 2 -x-2=0,解得x 1 =2,x 2 =-1(舍去).当x<0时,原方程化为x 2 +x-2=0,解得x 1 =1(舍去),x 2 =-2.∴x 1 =2,x 2 =-2是原方程的根.请参照例题解方程:x 2 -|x-1|-1=0.
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(1)设x-1≥0原方程变为x 2 -x+1-1=0, x 2 -x=0, x 1 =0(舍去),x 2 =1. (2)设x-1<0,原方程变为x 2 +x-1-1=0, x 2 +x-2=0, 解得x 1 =1(舍去),x 2 =-2. ∴原方程解为x 1 =1,x 2 =-2. |
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