Answer:
x = 5.200
Step-by-step explanation:
Given equation is,
x³ - 4.6x² - 7.03x = -20.332
x³ - 4.6x² - 7.3x + 20.332 = 0
By graphing this equation with the help of a graphing calculator,
Solutions of the equation are the points where y = 0.
In other words, x intercepts are the solutions.
Solutions for the given equation are,
x = -2.3, 1.7 and 5.2
Therefore, solution for the given equation in the interval [4, 7] is x = 5.200
