# Equation

joe shmo
Posers and Puzzles 18 Oct '10 20:32
1. joe shmo
Strange Egg
18 Oct '10 20:32
Does anyone see a clear cut solution analytic solution to the following equation?
I came across it in a homework problem, and couldn't seem to see the path to take. Its too late for the grade, and the course isn't in solving equations, but its troubling me that the writers would leave its solution to approximation methods.

-10^5*e^(-1/20*t) -10^4*t + 2*10^5 = 0
2. 19 Oct '10 10:24
Hate to break it to you, but if this is of the form a*e^x + b*x = c (and I believe it is), then there is no analytical solution.
3. AThousandYoung
All My Soldiers...
19 Oct '10 11:17
The t in the exponent is in the denominator, not the numerator.
4. joe shmo
Strange Egg
19 Oct '10 11:56
Originally posted by AThousandYoung
The t in the exponent is in the denominator, not the numerator.
no, its in the numerator.
5. joe shmo
Strange Egg
19 Oct '10 11:57
Originally posted by Jirakon
Hate to break it to you, but if this is of the form a*e^x + b*x = c (and I believe it is), then there is no analytical solution.
ok, thanks for the help.
6. Palynka
Upward Spiral
19 Oct '10 13:47
Originally posted by joe shmo
ok, thanks for the help.
This might interest you:
http://www.wolframalpha.com/input/?i=-10^5*e^(-1/20*t)+-10^4*t+%2B+2*10^5+%3D%3D+0
7. joe shmo
Strange Egg
19 Oct '10 16:21
Originally posted by Palynka
This might interest you:
http://www.wolframalpha.com/input/?i=-10^5*e^(-1/20*t)+-10^4*t+%2B+2*10^5+%3D%3D+0
Indeed it does...

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