Root finding Problems

• Root-Finding Problem is the problem of finding a root of the equation f(x)=0, where f(x) is a function of a single variable x.
  
• Given a function f(x), find x=r such that f(r)=0.
  
• The equation , will be called algebraic or transcendental according as f(x) is purely a polynomial in x or contains some other functions , such as trigonometric , logarithmic or exponential functions etc. For example
  
          x^3-x+2=0               algebraic equation
  
   sinx +x^2-logx=0           transcendental equation