Solving for E in an Exponential Equation with Square Roots

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SUMMARY

The discussion focuses on solving the exponential equation E + sqrt(aE) = b, where 'a' and 'b' are constants. The equation can be rewritten as sqrt(aE) = b - E, allowing for squaring both sides to eliminate the square root. This transformation results in a quadratic equation in E, which can be solved using standard quadratic formula techniques. The key takeaway is the method of isolating the square root and converting the equation into a solvable quadratic form.

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kmoh111
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Homework Statement


How do you solve this probem for E:

E + sqrt(aE) = b

where 'a' and 'b' are constants.

I don't recall how to handle the exponents where you have E + aE^1/2 = b and solve for E.
 
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Rewrite it as sqrt(aE)=b-E. Now square both sides. It's a quadratic equation in E.
 
Thank you.
 

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