# Use Newton's method with initial approximation  Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x + 3 = 0. x2=_______________?

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Given `f(x)=x^3+x+3` , then `f'(x)=3x^2+1`

Newton's method begins with a "guess", then proceeds towards the actual value (if it converges) using `x_n=x_(n-1)-(f(x_n))/(f'(x_n))`

`x_1=-2`

`x_2=-2-(-7)/13=-1.461538462`

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