It looks like the power supply is not doing it's job.
"...has failed to backup power..."
This is realy NOT clear. In fact, it hardly make any sence at all.
Did it fall?
It's hard to see the meaning of "backup" in this cntext. Backup apply to saving a safety copy of your data to some external storage or online storage, never to power or booting the computer.
Check the power supply connection to the wall and to the computer.
Electro, May 2011