Question

Q53. Newton- Raphson method is applicable to
the solution of
(A) Both
and
transcendenta
algebraic
equations
(B) Algebraic equations only
(C) Transcendental equations only
(D) None of these​

Answer 1

Question

• Q53. Newton- Raphson method is applicable to the solution of

Answer

• (C) Transcendental equations only

Answer 2

Newton- Raphson method is applicable to  the solution of a) Both algebraic and transcendental equations.

• Named after Sir Isaac Newton and Joseph Raphson, Newton- Raphson method is used to determine approximations to the zeroes (or roots) of a function.
• This method can be used on both algebraic and transcendental equations.
• Unlike other methods, the Newton- Raphson method requires a single appropriate initial point as a starting assumption of the root of the function.
• The formula is:

         $x_1 = x_o - \frac{f (x_o)}{f' (x_o)}$

        Here, f(xo) is a function at xo

        f'(xo) is the first derivative of the function f(xo)