先化简,再求值:(1)(x+1⼀x눀-x-x⼀x눀-2x+1)÷1⼀x,x=根号2+1 急!!!!!!!!!!!!!

2024-11-21 20:48:39
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回答1:

先化简,再求值:(1)(x+1/x²-x-x/x²-2x+1)÷1/x,x=根号2+1 急!!!!!!!!!!!!!
=((x+1)/x(x-1)-x/(x-1)²)×x
=(x+1)/(x-1)-x²/(x-1)²
=(x²-1-x²)/(x-1)²
=-1/(√2+1-1)²
=-1/2;

(2)(1+x-3/x+3)÷2x/x²-9 x=根号3+3
=(x+3+x-3)/(x+3)×(x+3)(x-3)/2x
=x-3
=√3;

(3)4-x/x-2÷(x+2-12/x-2)x=根号3-4
=(4-x)/(x-2)÷(x²-4-12)/(x-2)
=(4-x)/(x-2)×(x-2)/(x-4)(x+4)
=-1/(x+4)
=-1/√3
=-√3/3;

(4)x-3/2x-4x÷(5/x-2-x-2) x=根号3-2
=(x-3)/2(x-2)÷(5-(x²-4))/(x-2)
=(x-3)/2(x-2)×(x-2)/(3+x)(3-x)
=-2/(3+x)
=-2/(3+√3-2)
=-2/(√3+1)
=-(√3-1)
=1-√3;

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