$1$

Required information

Determine the highest real root of $f(x)=0\mathrm{.}95x^3-5\mathrm{.}9x^2+10\mathrm{.}9x-6$ using the following methods.

Use the Newton$-$Raphson method $($three iterations, $x_0=3\mathrm{.}5).$

The highest real root is