Question

已知x的平方-5x-2014=0,求x-2分之(x-2)的立方-(x-1)的平方+1的值

Answer 1

已知x的平方-5x-2014=0,
(x-2)分之(x-2)的立方-(x-1)的平方+1的值
=[(x-2)³-x²+2x]÷(x-2)
=(x-2)²-x
=x²-4x+4-x
=x²-5x+4
=2014+4
=2018;