
计算:已知x²-5x-2006=0.求(x-2)³-(x-1)²+1分之x-2的值
展开全部
你好:
x^2-5x-2006=0
x^2-5x=2006
[(x-2)^3-(x-1)^2+1]/(x-2)
=[(x-2)^3+1-(x-1)^2]/(x-2)
=[(x-2)^3+(1-x+1)(1+x-1)]/(x-2)
=[(x-2^3)-x(x-2)]/(x-2)
=(x-2)^2-x
=x^2-5x+4
=2006+4
=2010
x^2-5x-2006=0
x^2-5x=2006
[(x-2)^3-(x-1)^2+1]/(x-2)
=[(x-2)^3+1-(x-1)^2]/(x-2)
=[(x-2)^3+(1-x+1)(1+x-1)]/(x-2)
=[(x-2^3)-x(x-2)]/(x-2)
=(x-2)^2-x
=x^2-5x+4
=2006+4
=2010
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询