Use newton's method to find the second and third approximation of a root of x3+x+2=0 starting with x1=−1 as the initial approximation. the second approximation is x2 = -18/13 the third approximation is x3 =

The third approximation is

Step-by-step explanation:

We are given that  

We have to find the second and third approximation of a root of given equation by using Newton's method.

We know that Newton's method , if nth approximation is given and then, the next approximation is given by  

Substitute

Substitute the value n=1 then, we get  

Substitute the values then , we get  the second approximation

For n=2

Hence, the third approximation is

0.84 dang lotta people are looking for this lol or if you round up its 1 but the overall answer to that is 0.84

step-by-step explanation: