Solving a Root Equation for the Variable r

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Homework Help Overview

The discussion revolves around rearranging equations to solve for variables, specifically focusing on the equations involving roots and algebraic manipulation. The subject area includes algebra and equation solving techniques.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants explore how to isolate variables in equations, question the steps involved in rearranging terms, and discuss the implications of squaring and taking square roots. There is also a focus on simplifying expressions and the treatment of surds in denominators.

Discussion Status

The discussion is active, with participants providing guidance on algebraic manipulation and questioning assumptions about the variables involved. There are multiple interpretations of the steps required to simplify expressions and solve for variables, indicating a productive exploration of the topic.

Contextual Notes

Participants express uncertainty about the validity of their approaches and the necessity of certain algebraic conventions, such as rationalizing denominators and the implications of variable signs.

  • #61
In fact, perhaps your original post contained a typo. You went from
A = πr² + r²root(k²-1) to r³ = (2A/π+root(k²-1)
Did you really mean the r³, rather than r²?
 
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  • #62
:redface: i believe your right
 

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