Book of Contradictions: A Challenge

[Minimalist]

1 After Jesus was born in Bethlehem in Judea, during the time of King Herod, Magi[a] from the east came to Jerusalem

--Matthew 2

1 In those days Caesar Augustus issued a decree that a census should be taken of the entire Roman world. 2 (This was the first census that took place while[a] Quirinius was governor of Syria.)
--Luke 2

Herod died in 4 BC. Publius Sulpicius Quirinius was named Governor ( Imperial Legate ) of Syria in 6 AD.

The minimum ten year discrepancy cannot be reconciled.

Of course both may be but one must be wrong. So much for inerrancy.