Why won't my laptop turn on anymore?

Any computer techs out there that might have an idea? I’ve had my Dell XPS M1330 for almost 4 years now. For the past two years it has been telling me to exchange my battery. I ignored it and just let the laptop go on because it ONLY worked when it is charged. If it is not connected to the charger it will only last a minute or less if disconnected.

Anyways, today my laptop just turned off. It won’t turn on at all and nothing will light up. The charger is lit up and green…connected but my laptop won’t turn on. The charger works with my mom’s dell laptop but not mine. Could it be a battery or motherboard thing?