Eating bad eggs can give you a stomach ache, diarrhea and possible Salmonella poisoning if the bad eggs are tainted with Salmonella.
If you happen to eat bad eggs you should go to urgent care or the doctor just to be safe but most times you'll get over the sickness within a day or two.
I've accidentally eaten a bad egg and had nausea, vomiting and a stomach ache as well as some diarrhea and I recovered from it within a few days.
But I went to urgent care just to be safe and they said that I didn't have any Salmonella poisoning but ti was a good idea to get checked out just to be sure.
You can test to see if eggs are bad or not by doing the floating egg test to be sure you do not eat some bad eggs.
Fill a bowl with water and place the eggs in the bowl of water and if the egg floats the egg is bad and should be thrown out.
If the egg sinks to the bottom of the water and stays there the egg is fresh and good to eat but if the egg sinks to the bottom of the bowl but then stands up on one end the egg is not as fresh but it's still safe to eat.