The iterative formula below will give
an approximate solution to the
equation x³ + 2x² − 3x = 12.
-
Xn+1 =
3xn + 12
Xn + 2
a) Use this formula to work out an
approximate solution to the equation,
starting with x₁
0.
Give your answer to 3 d.p.
=
b) By first calculating the value of
x³ + 2x² − 3x when x is equal to
your rounded answer to part a), work
out the difference between this
value and 12.
