12 times my date of birth + 31 times month of birth is 4 less than square of 21. Which date was i born on?
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You will get that 1 2 x + 3 1 y = 2 1 2 − 4 where 1 ≤ x ≤ 3 0 , 1 ≤ y ≤ 1 2 and both X and Y are integers. The only possible integer satisfying the condition is ( x , y ) = ( 8 , 1 1 ) ; in other words, your birthday is 8 November.