Chapter 1.3, Problem 9AYU

In Problems 5-16, use a graphing utility to approximate the real solutions, if any, of each equation rounded to two decimal places. All solutions lie between -10 and 10.

$x^4-2x^3+3x-1=0$

To determine

To find: The solution of the equation $x^4 - 2x^3 + 3x - 1 = 0$.

Answer to Problem 9AYU

Solution:

Solution set is $\left\{-1.12,0.36\right\}$

Explanation of Solution

Given:

The equation $x^4 - 2x^3 + 3x - 1 = 0$

Simplification:

The graph of the equation shows the $x-\text{intercepts}$ $-1.12$ and $\text{0.36}$ (rounded of to two decimal places)

Thus the solution set is $\left\{-1.12,0.36\right\}$.