Question

. If z + z-1 = 1, then find the value of z100 + z-100.
1​

Answer 1

z+z-1=1

2z-1=1

z100+z-100

100(z+z-1)

100(2z-1)

100X1 (2z-1=1)

100

Answer 2

2z=2
Z=2/2=1

=z100+z-100
=(1)100+1-100
=100+1-100
=1