How Do You Solve for Q in a Complex Algebra Equation?

AI Thread Summary
To solve for q in the equation (Fr^2)/k = (6.63E-6 - q)q, first identify the known variables and rearrange the equation into the standard quadratic form aq^2 + bq + c = 0. Factoring may not be effective due to the complexity of the numbers involved. Use the quadratic formula to find the values of q, taking into account any physical constraints on q's value. This approach will yield the solutions necessary for the equation. Understanding the relationship between the variables is crucial for accurate results.
jmb07
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how do i go about solving for q in the equation:

(F x r x r)/k = (6.63E-6 -q)(q)
 
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What are your knowns/unknowns and are there any additional equations?

I skimmed over your other thread, and you're trying to solve for q where the rest of the variables are known, right?

\frac{Fr^2}{k}=(6.63*10^{-6} -q)q
This is just a simple quadratic equation. Using factoring here obviously won't be useful since the numbers are a bit messy. Just arrange it to the general form (aq^2+bq+c=0) and solve for q, and remember any limits you may have on its value because of its physical properties.
 

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