SOLUTION: t^1/2 -2t^1/4 +1=0 find the real solutions

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Question 656595: t^1/2 -2t^1/4 +1=0 find the real solutions
Answer by htmentor(1343) About Me  (Show Source):
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t^1/2 -2t^1/4 +1=0 find the real solutions
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Let x = t^(1/4)
Then the equation becomes x^2 - 2x + 1 = 0
This can be factored as (x-1)(x-1) = 0
The solution is x=1, which means t = x^4 = 1^4 = 1
So the solution is t=1 (multiplicity 2)