Question

if Z square + 1 by z square is equal to 34, find the value of of z cube + one by z cube using positive value z+1 by z​

Answer 1

Answer:

Here is your answer

Hope it helps you...

PLEASE MARK AS BRAINLIEST!!!!

Answer 2

Given : $z^2+\frac{1}{z^2}= 34$

To find : $z^3+\frac{1}{z^3}$

solution:

$z^2+\frac{1}{z^2}= 34\\\\z^2+\frac{1}{z^2}+2\times z \times \frac{1}{z}= 34+2\times z \times \frac{1}{z}\\\\(z+\frac{1}{z})^2= 34+2\\\\(z+\frac{1}{z})^2= 36 \\\\z+\frac{1}{z}= \sqrt{36}\\\\z+\frac{1}{z}=6\\\\now, \\\\z^3+\frac{1}{z^3}\\\\(z+\frac{1}{z})^3-3(z+\frac{1}{z})\\\\(6)^3-3(6)\\\\6\times 33\\\\198$

hence , $z^3+\frac{1}{z^3} = 198$

#Learn more :

https://brainly.in/question/4666243