SOLUTION: solve ((z+1)^2) = 2(z^2), for z

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Question 1181499: solve ((z+1)^2) = 2(z^2), for z
Answer by ikleyn(52760) About Me  (Show Source):
You can put this solution on YOUR website!
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solve ((z+1)^2) = 2(z^2), for z
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z^2 + 2z + 1 = 2z^2


z^2 - 2z - 1 = 0


z%5B1%2C2%5D = %282+%2B-+sqrt%282%5E2+-+4%2A1%2A%28-1%29%29%29%2F2 = %282+%2B-+sqrt%288%29%29%2F2 = 1+%2B-+sqrt%282%29.


ANSWER.  There are 2 solutions,  z= 1+%2B+sqrt%282%29  and  z= 1-sqrt%282%29.

Solved.