1.) Why are there usually two solutions in quadratic equations?

2.) Under what situation would one or more solutions of a rational equation be unacceptable?

If putting the found "solution" cannot be put back into the original equation without violating fundamental math rules, then it is not a solution. This usually involves haveing a root in the denominator.

There are two solutions because there are usually two values of the variable which will satisfy the conditions of the original governing equation.

•Why are there usually two solutions in quadratic equations? Are there any cases you have more than two? How about only one or none? Give examples.