Final answer:
Newton's method formula for finding a root of f(x) is x_n+1 = x_n - f(x_n)/f'(x_n).
Step-by-step explanation:
Newton's method is used for finding roots of an equation f(x). The formula for Newton's method is:
xn+1 = xn - f(xn)/f'(xn)
Where xn+1 is the next guess for the root, xn is the previous guess, f(xn) is the value of the equation at xn, and f'(xn) is the derivative of the equation at xn.