Question 159027
for how many integral values of M is m2(m square) 100m + 1000is a perfect squre
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None, since {{{m^2 + 100m + 1000}}} is not a perfect square.  
If it were just m^2 + 100m, then zero (0) would be one value.

I'm not 100% certain, but I think it's none.