Question

若实数m满足m2－ m + 1 = 0,则 m4 + m－4 = ．

Answer 1

m2－ m + 1 = 0,

m^2=m-1

m4 + m－4 = (m-1)^2+m-4=m^2-2m+1+m-4

=m^2-m-3 由m2－ m + 1 = 0可得m^2-m=-1

=-4