Recently fuzzy equations are used in various fields such as Physics, Economics, Finance and Statistics. Solving fuzzy quadratic equations has long been a problem in fuzzy set theory. Fuzzy quadratic equations were solved by using the method of α − cut. This article proposed a new and simple solution method to solve a fuzzy quadratic equation AX2 = B, without using the α − cut. We use distribution function, complementary distribution function and density function to solve fuzzy quadratic equation AX2 = B. The result obtained is found to be in good agreement. We also compare our new solution with classical solution of α − cut by plotting them into graphical representation using MATLAB.