
先化简再求值(3/x+1
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先化简,再求值:(x+1-3/(x-1))÷(x平方-4x+4)/(x-1),求组x满足方程:x平方+x-6=0
由x²+x-6=0
解得x1=2,x2=-3,
(x+1-3/(x-1))÷(x平方-4x+4)/(x-1)
=(X-2)(X+2)/[(x+1)(x-1)]*(x-1)/(x-2)²
=(X+2)/[(X+1)(X-2)]
当X=2时,原式无意义;
当X=-3时,
原式=(-3+2)/[(-3+1)(-3-2)]
=-1/10
由x²+x-6=0
解得x1=2,x2=-3,
(x+1-3/(x-1))÷(x平方-4x+4)/(x-1)
=(X-2)(X+2)/[(x+1)(x-1)]*(x-1)/(x-2)²
=(X+2)/[(X+1)(X-2)]
当X=2时,原式无意义;
当X=-3时,
原式=(-3+2)/[(-3+1)(-3-2)]
=-1/10
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