It sort of depends on what you're saying. Like if you got in a fight with a friend then reconcile would mean- to forgive each other or to come to an agreement.
A savings and especially a checking bank account have constant deposits and withdrawals, including debits and checks against the account. To reconcile an account is to start from the last monthly...
I think you mean irreconcilable differences. If so, irreconcilable differences are differences between spouses that are considered sufficiently severe to make married life together more or less...
It means to make up with someone after having fallen out with them. It could also be between any group of individuals. Countries or organisations can reconcile their differences over something, not...