Solving for E in an Exponential Equation with Square Roots

Thread starter kmoh111
Start date Sep 25, 2008
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Exponents

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To solve the equation E + sqrt(aE) = b for E, first rewrite it as sqrt(aE) = b - E. Next, square both sides to eliminate the square root, resulting in aE = (b - E)². This leads to a quadratic equation in E, which can be rearranged and solved using standard methods for quadratic equations. The constants 'a' and 'b' will determine the specific solutions for E. Understanding this process is crucial for tackling similar exponential equations with square roots.

Sep 25, 2008

kmoh111

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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Sep 25, 2008

Dick

Science Advisor

Homework Helper

Rewrite it as sqrt(aE)=b-E. Now square both sides. It's a quadratic equation in E.

Sep 25, 2008

kmoh111

Thank you.

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