Question

what are the value of Z if z square + 1 upon Z Square equals to 2




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Answer 1

Answer:

z=1

Explanation:

z²+1/z²=2

using identity,

(z+1/z)²=z²+1/z²+2(z×1/z)

(z+1/z)²=2+2

(z+1/z)²=4

z+1/z=2

z²+1/z=2

z²+1=2z

z²-2z+1=0

z²-z-z+1=0

z(z-1)-1(z-1)=0

Thus, (z-1)²=0

So, z-1=0

z=1

Answer 2

Answer:

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