SOLUTION: Sqrt(2x-x^2)=(x-1)^2

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Question 431399: Sqrt(2x-x^2)=(x-1)^2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Sqrt(2x-x^2)=(x-1)^2

   (2x-x^2) = (x-1)^4      |%28a+%2B+b%29%5E4+=+a%5E4+%2B+4a%5E3b+%2B+6a%5E2b%5E2+%2B+4ab%5E3+%2B+b%5E4   

  2x-x^2 = x^4 + 4x^3*-1 + 6x^2*1 + 4x*-1 + 1

  2x-x^2 = x^4 - 4x^3 + 6x^2 - 4x + 1

       x^4 - 4x^3 + 7x^2 -6x + 1 = 0