Question

如果m平方减3m加1等于0,求（1）m平方加m平方分之1（2）m四次方加m四次方分之1

Answer 1

m^2-3m+1=0

m-3+1/m=0

m+1/m=3

1)

m^2+1/m^2

=(m+1/m)^2-2

=3^2-2

=7

2)

m^4+1/m^4

=(m^2+1/m^2)-2

=7^2-2

=47