Numerical Methods

To find the square root of $12$ using Newton-Raphson method on $f(x) = x^2 - 12 = 0$, starting with initial guess $x_0 = 3.0$, the first iteration $x_1 = x_0 - \frac{x_0^2 - 12}{2 x_0} = 3.0 - \frac{9 - 12}{6} = 3.0 - (-0.5)$ in decimal is: