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Find all possible integer values of n such that 2n^2 + 2n + 38 is a 4-digit number with all 4 digits equal.

 Apr 24, 2021
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2n^2  +  2n  +  38  =

 

2 ( n^2  + n +  19)

 

Since  this  is a multiple of 2  the  only possibilities  are

 

2222,   4444,   6666  or 8888

 

There  are no integer  n's  such  that

 

2n^2  + 2n +   38  =    any  of these

 

 

cool cool cool

 Apr 24, 2021

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