Question

if(z-1/z)=6,find the value of: (I) (z+1/z) (ii) (z2+1/z2) (iii) (z4+1/z4)​

Answer 1

Answer:

z-1/z=6

z-1=6z

z-6z=1

-5z=1

z= -1/5= -0.2

substitute this value of z in following questions:

1) z+1/z = -0.2+1/0.2=0.8/0.2=8/2=4

2)z²+1/z²= (-0.2)²+1/(-0.2)² = 0.04+1/0.04=1.04/0.04=26

3)(-0.2)⁴+1/(-0.2)⁴=0.0016+1/0.0016=1.0016/0.0016=626