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(1.1^10)-(1.085^10) = X^10 What is X?

 Oct 20, 2016
 #1
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Solve for X:
0.332759 = X^10

0.332759 = X^10 is equivalent to X^10 = 0.332759:
X^10 = 0.332759

Taking 10^th roots gives 0.895804 times the 10^th roots of unity:
Answer: |X = -0.895804. This is the "real" solution. There are 9 other "imaginary" solutions, but have not listed them here. 

 Oct 21, 2016

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