If z-1/z = 8 then the value of z sq. +1/z sq. is
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Answer:
If z-1/z = 8 then the value of z sq. +1/z sq. is
Step-by-step explanation:
Answer:
Given,
[tex]z - \frac{1}{z} = 8[/tex]
squaring on both sides,
[tex](z - \frac{1}{z})^2 = 8^2[/tex]
by expanding the above we get,
[tex]z^2 - 2 * z * \frac{1}{z} + \frac{1}{z^2} = 64[/tex]
[tex]z^2 - 2 + \frac{1}{z^2} = 64[/tex]
[tex]z^2 + \frac{1}{z^2} = 64 - 2[/tex]
[tex]z^2 + \frac{1}{z^2} = 62[/tex]
Hope it helps you^_^