大师作文网若x=√2,求代数式[(x^2-2x+4)/(√x^2-4x+4)]/[(x^3+8)/(x^2-4)]*[|6-x|/
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若x=√2,求代数式[(x^2-2x+4)/(√x^2-4x+4)]/[(x^3+8)/(x^2-4)]*[|6-x|/(x^2-5x-6)-[1/(x^2-x+1)]^-1的值
![若x=√2,求代数式[(x^2-2x+4)/(√x^2-4x+4)]/[(x^3+8)/(x^2-4)]*[|6-x|/](/uploads/image/z/7876087-7-7.jpg?t=%E8%8B%A5x%3D%E2%88%9A2%2C%E6%B1%82%E4%BB%A3%E6%95%B0%E5%BC%8F%5B%28x%5E2-2x%2B4%29%2F%28%E2%88%9Ax%5E2-4x%2B4%29%5D%2F%5B%28x%5E3%2B8%29%2F%28x%5E2-4%29%5D%2A%5B%7C6-x%7C%2F)
[(x^2-2x+4)/(√x^2-4x+4)]/[(x^3+8)/(x^2-4)]*[|6-x|/(x^2-5x-6)- [1/(x^2-x+1)]^-1
=[(x^2-2x+4)/|x-2|]/[(x^3+8)/(x^2-4)]*[|6-x|/(x-6)(x+1)-(x^2- x+1)
=(x^2-2x+4)/(x-2)×(x-2)(x+2)/(x^3+8)[(6-x)/(x-6)(x+1)-(x^2- x+1)
=-(x^2-2x+4)(x+2)/(x^3+8)/(x+1)-(x^2- x+1)
=-1/(x+1)-(x^2- x+1)
x=√2
-1/(x+1)-(x^2- x+1)=-1/(√2+1)-(2-√2+1)=1-√2-3+√2=-2
=[(x^2-2x+4)/|x-2|]/[(x^3+8)/(x^2-4)]*[|6-x|/(x-6)(x+1)-(x^2- x+1)
=(x^2-2x+4)/(x-2)×(x-2)(x+2)/(x^3+8)[(6-x)/(x-6)(x+1)-(x^2- x+1)
=-(x^2-2x+4)(x+2)/(x^3+8)/(x+1)-(x^2- x+1)
=-1/(x+1)-(x^2- x+1)
x=√2
-1/(x+1)-(x^2- x+1)=-1/(√2+1)-(2-√2+1)=1-√2-3+√2=-2
若x=√2,求代数式[(x^2-2x+4)/(√x^2-4x+4)]/[(x^3+8)/(x^2-4)]*[|6-x|/
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