You can put this solution on YOUR website! I beg your pardon! A quadratic equation will NEVER have three solutions!!
The degree (also called the order), which is the highest power of the variable in any polynomial equation, determines the number of solutions that are possible. So, an x^2 equation has two solutions, an x^3 equation has 3 solutions, an x^4 equation has four solutions, etc. Now, sometimes the solutions MAY be repeated solutions or they may be complex (not real!) solutions. This is a one paragraph summary of a longer lesson in College Algebra.