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

[chwala]

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...

the test book gives solution as $k>4$. Did they miss out on the second solution $k=0$?

 

[anuttarasammyak]

k=0 and k>4 are solutions as you say.

 

[chwala]

k=0 and k>4 are solutions as you say.

Thanks Man...meaning the author was not keen. Cheers! Bingo