If 3^{x}+ 3^{-x}= 10/3 , the sum of the possible solutions is:

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- Jun 29th 2013, 01:39 PMEspionageAlgebraic Exponents
If 3

^{x}+ 3^{-x}= 10/3 , the sum of the possible solutions is: - Jun 29th 2013, 01:58 PMShakarriRe: Algebraic Exponents
Hint: f(x)=3

^{x}+3^{-x}is an even function meaning that f(x)=f(-x) - Jun 29th 2013, 02:27 PMPlatoRe: Algebraic Exponents
- Jun 29th 2013, 06:06 PMjohngRe: Algebraic Exponents
Hi Espionage,

The easiest solution is to notice "by inspection" that 1 and -1 are roots. So the sum is 0. I'm not really that much of an arithmetic whiz. I drew the graph and then realized from the graph that 1 and -1 are the roots. Moral: always draw a picture if you can. Of course, use technology to draw said picture. Here's the graph that I drew together with the solutions as suggested above:

Attachment 28697