已知X^2-5X-2003=0求代数式(X-2)^3-(X-1)^2+1

问题描述:

已知X^2-5X-2003=0求代数式(X-2)^3-(X-1)^2+1
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X-2
X-2)^3-(X-1)^2+1
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````````````````````````X-2
是一个分式

(X-2)^3-(X-1)^2+1 =(X-2)^3-x(x-2)=(x-2)(x^2-5x+4)
原式=x^2-5x+4=X^2-5X-2003+2007=2007