Question

Z-1/z equal 6 find z²+1/z²

Answer 1

Answer:

$z - \frac{1}{z} = 6 \\</p><p>squaring \\ \\ {(z - \frac{1}{z})}^{2} = {6}^{2} \\ \\ {z}^{2} + \frac{1}{ {z}^{2} } - 2 \times z \times \frac{1}{z} = 36 \\ \\ {z}^{2} + \frac{1}{ {z}^{2} } - 2 = 36 \\ \\ {z}^{2} + \frac{1}{ {z}^{2} } = 36 + 2 = 38$

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