Question

若M的平方+M的和减1=0,则M的3次方加2 M的平方加2001的和是多少?

Answer 1

m^2 + m -1 = 0

m^2 + m = 1

m^3 + 2m^2 + 2001 = m(m^2 + m) + m^2 + 2001 = m + m^2 + 2001 = 1 + 2001 = 2002