initial approximation to compute the approximations x1 and x2

Question

Write the formula for​ Newton's method and use the given initial approximation to compute the approximations

x₁ and x₂.

f(x)=x²−2x−35​, x₀ =6

Write the formula for​ Newton's method for the given function. Choose the correct answer below.

x_n+1=x_n−x_n²−2x_n−35 / 2x_n−2

Use the given initial approximation to compute the approximations x₁ and x₂.

x₁=_______

x₂=_______

.

Answer 1

x₁ = 6 - (36 - 12 - 35)/(12 - 2) = 6 + 1.1 = 7.1

x₂ = 7.1 - (7.1² - 14.2 - 35)/(14.2 - 2) = 7.00082