Question 866904
Depending on what happens during solution process (specifically the discriminant), TWO solutions.  


As for why, Look at these:

<a href="http://www.algebra.com/tutors/Completing-the-Square-Using-Pictures.lesson?content_action=show_dev">What is Completing The Square? With Visual Explanation</a>
and
<a href="http://www.algebra.com/tutors/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev">Completing the Square to Solve General Quadratic Equation</a>


 Two Real solutions depend on {{{highlight_green(b^2-4*a*c>0)}}}.