Use Newton's method to approximate a root of the equation 3x7 + 7x¹+3=0 as follows. Let x₁ = 3 be the initial approximation. The second approximation 2 is and the third approximation 3 is (Although these are approximations of the root, enter exact expressions for each approximation.)

The given equation has one real solution. Approximate it by Newton's method. x* - 2x – 6 = 0 Round your answer to four decimal places. x = i