Question

if z² + 1/z² = 34 , find z³+1/z³ using only the positive value of z+1/z .

Answer 1

Answer:

z^2+1/z^2=34

or,z^2+1/z^2+2=34+2

or,(z+1/z)^2=36

or,z+1/z=6

or,(z+1/z)^3=6^3

or,z^3+3×(z+1/z)+1/z^3=216

or,z^3+1/z^3=216-18

so,z^3+1/z^3=198

Answer 2

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