Question

Solve the newton s method a root of x^3-3x-5

Answer 1

Answer:

To find the roots of the equation x3-3x-5 up to 5 decimal places using the Newton Raphson Method. Follow the steps to solve the questions.

Given equation f(x) = x3 - 3x - 5

Differentiate with respect to x, we get f '(x) = 3x2-3

Now first find the range, where the real roots lie in i.e f(2) = - 3 and f(3) = 13

Since f(2) is a negative value and f(3) is a positive value. Therefore, our one real root of the equation lies between x = 2 and 3.

Now, by Newton's- Raphson formula

Answer 2

Answer:

the above figure is the answer of Find the real root of by Newton Raphson method