x²-5x-2012=0 x²-5x=2012
[(x-2)³-(x-1)²+1]/(x-2)
=(x-2)³/(x-2)-[(x-1)²-1]/(x-2)
=(x-2)²-(x-1+1)(x-1-1)/(x-2)
=(x-2)²-x
=x²-5x+4
=2012+4
=2016
x²-5x-2012=0 x²-5x=2012
[(x-2)³-(x-1)²+1]/(x-2)
=(x-2)³/(x-2)-[(x-1)²-1]/(x-2)
=(x-2)²-(x-1+1)(x-1-1)/(x-2)
=(x-2)²-x
=x²-5x+4
=2012+4
=2016