Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. Round to four decimal places. 2/x - x^2 + 1 = 0 , x1 = 2 x3= ?

Use Newton's method to approximate a root of the equation 5x³ + 6x + 4 = 0 as follows. Let x1 = - 1 be the initial approximation. The second approximation x2 is and the third approximation x3 is (Although these are approximations of the root, enter exact expressions for each approximation.)

Use Newton's method to approximate a root of the equation 3x + 5x + 2 = 0 as follows. Let x1 = - 1 be the initial approximation. The second approximation x2 is and the third approximation a3 is (Although these are approximations of the root, enter exact expressions for each approximation.)

please solve the question in the picture.