Uncovering the Missing Solution in the Modulus Problem: k>4 and k=0

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chwala
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Homework Statement
Find the set of values of ##k## for which ##|(x+5)(x+1)|=k## has two solutions
Relevant Equations
modulus
i got ##k>4## and ##k=0##
find my working...

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the test book gives solution as ##k>4##. Did they miss out on the second solution ##k=0##?
 
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k=0 and k>4 are solutions as you say.
 
anuttarasammyak said:
k=0 and k>4 are solutions as you say.
Thanks Man...meaning the author was not keen. Cheers! Bingo :cool:
 
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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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