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Question
Hi!Could you show me how to solve the following?
"Given a+b+c=0 and [1/(a+1)]+[1/(b+2)]+[1/(c+3)]=0.What is the value of [(a+1)^2+(b+2)^2+(c+3)^2}?"

Mike,

This problem has 3 unknowns, namely a, b and c, and only 2 (independent) equations. This means that not all 3 unknowns can be solved for or, in other words, an arbitrary value can be picked for one of the unknowns and the equations solved with no inconsistencies.

Try setting a = 0 and working through the equations. You should get c = sqrt(3) and b = -sqrt(3).

Is there more to this problem? Have you omitted an equation?

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#### randy patton

##### Expertise

college mathematics, applied math, advanced calculus, complex analysis, linear and abstract algebra, probability theory, signal processing, undergraduate physics, physical oceanography

##### Experience

26 years as a professional scientist conducting academic quality research on mostly classified projects involving math/physics modeling and simulation, data analysis and signal processing, instrument development; often ocean related

Publications
J. Physical Oceanography, 1984 "A Numerical Model for Low-Frequency Equatorial Dynamics", with M. Cane

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M.S. MIT Physical Oceanography, B.S. UC Berkeley Applied Math

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Also an Expert in Oceanography