Question

Use Newton's method with the specified initial approximation x₁ to find x₃, the third approximation to the root of the given equation.

x³ + 5x − 2 = 0,    x₁ = 2

Step 1

If

f(x) = x³ + 5x − 2,

then

f'(x) = _____ x^2 + _____

2- Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.)

x⁴ = 5 + x

.

Answer 1