x^2-|x|-6＞0

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x^2-|x|-6＞0x^2-|x|-6＞0x^2-|x|-6＞0分2种情况解x^2+x-6>0解;(x+3)(x-2)>0x>-3或x>2所以x>2x^2-x-6>0解;(x-3)(x+2)>0x>

x^2-|x|-6＞0
x^2-|x|-6＞0

x^2-|x|-6＞0
分2种情况解 x^2+x-6>0
解;(x+3)(x-2)>0
x>-3或x>2
所以x>2
x^2-x-6>0
解;(x-3)(x+2)>0
x>3或x>-2
所以x>3
综上所述；x>3

x^2-|x|-6＞0
x^2±x-6＞0
得：（x+3）（x-2）＞0.......(1)
（x-3）（x+2)＞0.......(2)
解(1)得：x＞-3 x＞2 或x＜-3 x＜2
解(2)得：x＞3 x＞-2 或x＜3 x＜-2
得 x＞2或x＜-2

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