Black Book | Functions | Q51 | JEE | Single Choice Problem

f(x) = 0 has eight distinct real roots and f(4 + x) = f(4 − x). Find the sum of all roots using the symmetry of the graph about a vertical line. #SymmetryOfGraph #SumOfRoots. 0:00 Understanding the problem 1:28 Symmetry about a vertical line concept 2:31 Defining the line of symmetry x = 4 3:15 Graphical interpretation of roots 4:57 Calculating the sum of roots 5:56 Final answer: Option B