Question

If z² + 1

²

= 34, find the value of z³ + 1

³

using only the positive value of z + 1



.​

Answer 1

Answer:

198

Step-by-step explanation:

z² + 1/z² = 34

(z + 1/z)² -2 = 34

(z + 1/z)² = 36

(z + 1/z) = 6

now,

z³ + 1/z³ = (z + 1/z)³ -3(z + 1/z)

= (6)³ - 3(6)

= 216 - 18

= 198