Question 871013
A response to this same question was already given, but you should first simplify the equation into {{{x^2-3x+4=0}}}.  Not factorable.  Use general solution, or, if you want, complete the square to help put into a form for easier graphing.  


Discriminant is {{{(-3)^2-4*1*4=9-16=-6<0}}}.  This means that the function has no x-intercepts.  NO REAL ZEROS.


<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>