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Kim Craig's POTW Solution
First, find a common denominator to simplify the expression:
Next, if you solve the quartic x 4 +x 2 +1=0, for x 4 +1, you get x 4 +1=-x 2 .  Plug in -x 2  for x 4 +1 in the expression to get:  Then, if you simplify the expression you get:

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Potw Solution

  • 1. Kim Craig's POTW Solution
  • 2. First, find a common denominator to simplify the expression:
  • 3. Next, if you solve the quartic x 4 +x 2 +1=0, for x 4 +1, you get x 4 +1=-x 2 . Plug in -x 2 for x 4 +1 in the expression to get: Then, if you simplify the expression you get: