Simplify to find theta, my brain is fuzzled from to much work today

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Homework Help Overview

The original poster presents a problem involving an equation that includes an exponential function, specifically seeking to simplify it to find the variable theta. The subject area relates to algebra and exponential equations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Some participants identify the equation as a quadratic form, suggesting that it can be expressed in terms of a variable substitution where x equals e^theta. Others propose an alternative setup of the equation, questioning the arrangement of terms.

Discussion Status

The discussion is ongoing, with participants providing different perspectives on how to approach the problem. Some guidance has been offered regarding the nature of the equation, but there is no explicit consensus on the best method to proceed.

Contextual Notes

There is a note of caution regarding the original poster's state of mind, suggesting that they may need to take a break before engaging further with the problem.

smell5
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2(exponential^theta)^2 - 10 = 6(exponential ^theta)
 
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It's a simple quadratic equation a*x^2 + b*x + c = 0 , where x = e^theta.
You can do it, don't give up. ;)
 
Quadratic too.
 
Could it not be set up as 2e^(2x)-6e^x = 10?
 
Just a gentle reminder to homework helpers: we help people do their problem, rather than doing the problem (or all of the thinking) for him.

If he's too fuzzled to work on the problem, then he needs to wait until he can clear his head and start on the problem himself before he can post here.
 

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