Question

If z square + 1/z square = 34, find the value of z cube + 1 / z cube using only the positive value of z + 1/z​

Answer 1

Answer:

198

Step-by-step explanation:

z²+1/z² = 34

(z+1/z)² = z²+1/z² +2z*1/z

(z+1/z)² = 34+2

z+1/z = √36

z+1/z = 6

z³+1/z³ + 3z*1/z(z+1/z) = (z+1/z)³

z³+1/z³ = 6³ - 3*6

z³+1/z³ = 216 - 18

z³-1/z³ = 198