how to solve a quadratic inequality

in the case you have ax²+bx+c>n where a,b,c and n are all real integers (non fractions, ration numbers that can be +ve or -ve) use the quadratic formula [-b+/-(b²-(4c))^1/2]/2a to first find the roots of the curve. draw the curve intersecting the x axis at these points. you will be able to see where the curve is larger than x=n and be able to shade the correct region.