已知x=1/x,求(x²-5/x-1+1)乘以x³-1/x²-2x除以(x+3)的值
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已知x=1/x,求(x²-5/x-1+1)乘以x³-1/x²-2x除以(x+3)的值
![已知x=1/x,求(x²-5/x-1+1)乘以x³-1/x²-2x除以(x+3)的值](/uploads/image/z/16754667-51-7.jpg?t=%E5%B7%B2%E7%9F%A5x%3D1%2Fx%2C%E6%B1%82%EF%BC%88x%26%23178%3B-5%2Fx-1%2B1%EF%BC%89%E4%B9%98%E4%BB%A5x%26%23179%3B-1%2Fx%26%23178%3B-2x%E9%99%A4%E4%BB%A5%EF%BC%88x%2B3%EF%BC%89%E7%9A%84%E5%80%BC)
x=1/x则x=±1
(x²-5/x-1+1)乘以x³-1/x²-2x除以(x+3)
=(x²-5/x)X(x³-1/x²-2x)÷(x+3)
=[(x^3-5)/x]X[(x^5-1-2x^3)/x^2]÷(x+3)
=(x^3-5)(x^5-2x^3-1)/[x^3(x+3)]
当x=1时
=(1-5)(1-2-1)/(1+3)
=(-4)(-2)/4
=2
当x=-1时
=(-1-5)(-1+2-1)/(-1)(-1+3)
=(-4)(0)/(-2)
=0
(x²-5/x-1+1)乘以x³-1/x²-2x除以(x+3)
=(x²-5/x)X(x³-1/x²-2x)÷(x+3)
=[(x^3-5)/x]X[(x^5-1-2x^3)/x^2]÷(x+3)
=(x^3-5)(x^5-2x^3-1)/[x^3(x+3)]
当x=1时
=(1-5)(1-2-1)/(1+3)
=(-4)(-2)/4
=2
当x=-1时
=(-1-5)(-1+2-1)/(-1)(-1+3)
=(-4)(0)/(-2)
=0
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