Since f(0) < 0 and f(3) > 0, we use the bisection method on the closed interval [0,3] to obtain:
m = Midpoint of [x0, x1] +-----------------------------------------------------------------------------+ ¦ x0 m = ½(x0 + x1) x1 F(x0) F(m) F(x1) ¦ ¦-----------------------------------------------------------------------------¦ ¦ 0.00000 000 1.50000 000 3.00000 000 < 0 < 0 > 0 ¦ ¦ 1.50000 000 2.25000 000 3.00000 000 < 0 < 0 > 0 ¦ ¦ 2.25000 000 2.62500 000 3.00000 000 < 0 < 0 > 0 ¦ ¦ 2.62500 000 2.81250 000 3.00000 000 < 0 < 0 > 0 ¦ ¦ 2.81250 000 2.90625 000 3.00000 000 < 0 > 0 > 0 ¦ ¦ ¦ ¦ 2.81250 000 2.85937 500 2.90625 000 < 0 < 0 > 0 ¦ ¦ 2.85937 500 2.88281 250 2.90625 000 < 0 < 0 > 0 ¦ ¦ 2.88281 250 2.89453 125 2.90625 000 < 0 < 0 > 0 ¦ ¦ 2.89453 125 2.90039 063 2.90625 000 < 0 > 0 > 0 ¦ ¦ 2.89453 125 2.89746 094 2.90039 063 < 0 > 0 > 0 ¦ +-----------------------------------------------------------------------------+
This table was generated by Microcalc.