HalfLife when quantity is not given

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Homework Statement


"Tritium is the basic fuel of hydrogen bombs and is used to increase the power for fission bombs . . . In a basic atom bomb (or reactor), plutonium atoms are split, or fissioned, to release energy, but the fission can be promoted with a small amount of tritium because it has two extra atom-splitting neutrons. Plutonium is a relatively stable material, and its natural decay is not a major factor in bomb maintenance. Tritium, however, decays at a rate of 5.5 percent a year."
What is half life given the above?

Homework Equations



e^-rt

The Attempt at a Solution

 
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There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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