Question

if z^2+1/z^2=14, find the value of z^3+1/z^3 by taking only the positive value of z+1/z.​

Answer 1

Answer:

Step-by-step explanation:

[Z+1/Z]^2=14

Z2+1/Z 2= 14 +2=16=4^2

Z+1/Z=4

(Z+1/Z)3=64

Z3+1/z3+3(z+1/z)=64

Z3+1/z3+12=64

Z3+1/z3=64-12=52

Thus the value of z3+1/z3=52

Hope this helps you!