Consider the following equations.
f(x) = x^3+3x^2-x-6
g(x) = x^2-3x-2

Approximate the solution to the equation f(x) = g(x) using three iterations of successive approximation. Use the graph as a starting point.

Graph shows upward parabola and polynomial function on a coordinate plane. The parabola has vertex at (1.5, minus 4) with left and right slopes at (minus 0.5, 0) and (3.5, 0). A curve enters quadrant 3 and goes through (minus 2, 0) and (0, minus 6).

What is the approximate value for the solution to the equation f(x) = g(x)?

Successive Approximation Intersection Values
5/8 | 11/16
3/4 | 13/16
7/8 | 15/16