the answer in the textbook is 10^[1-√(3)]/2. how does the other root not satisfy the original equation?
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110^{1+root3}/2 = 23.228 & 10^{1-root3}/2 = 1/10^(0.36002) = 0.43050 both values of x i got are +ve – Raknos13 Dec 29 '16 at 14:05
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It seems to me that your solutions are correct. Plot the function : it will confirm your results. – Claude Leibovici Dec 29 '16 at 14:24
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Performing the calculation with $x = 10^{\frac{1+\sqrt{3}}{2}}$ shows (unless I made an error in my computation...) that the "other" solution is indeed correct also. Is there anything else mentioned in your book that would invalidate it ? otherwise I'd say it's valid. – lmsteffan Dec 29 '16 at 14:25
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although the book pretty much gave just one answer with no explanation, i think both solutions are correct. – Raknos13 Dec 29 '16 at 14:44