Please explain what balanced out puts are.

Balanced outputs in theory lower the noise floor. You can buy xlr to rca adapters to mix n match. Balanced has a hot, negative, and separate ground. RCA (or single ended) has a hot and the ground and negative are combined.

BTW, usually the amp will have balanced inputs...the only output is to the speaker...

A lot of the best equipment like BAT, ARC, Levinson, others use them. But, balanced doesn't always mean better.

Balanced interconnects and inputs/outputs have two ground wires that are out of phase and one signal wire. That configuration allowes to get rid of microphonics and eliminates a reactance of the interconnect making it newtral.
On the best case it's great to use either balanced or unbalanced connections on your components. Worse case if you have both. You can also use adapters for connecting non-balanced components with balanced.
Most audiophiles will say that balanced interconnects are more quiet and unbalanced ones are more revealing and transperent.
IMO when the relatively short lengths of interconnects between components upto 1.5 meters are used it doesn't make any difference(you might check it with same brand using balanced and unbalanced versions). If you realy indend to use a long runs of interconnects, you might consider upgrading your component(s) to a balanced version if such upgrade is available by manufacturer.

........I'd just add to Jfrech's comments that XLR is the type of connector that balanced outputs/inputs uses. RCA connectors (the most common kind) are the kind "single ended" outputs/inputs use.

The XLR inputs you see on your amp would be inputs, not outputs. The amps outputs connect the amp to the speaker and are often "five way" so that you can use many different kinds of speaker cable terminations, ie spades, bananas, bare wire etc. There is no agreement as to which is best sonically, but if you need long inter-connects, ie say more than 20 ft. or so, XLR is considered preferrable. I use (and prefer) RCA. Good Luck. Craig