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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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