Chapter 7.3, Problem 6AYU

To determine

To solve: The quadratic expression by graphing utility as mentioned in the problem.

Answer to Problem 6AYU

The value of the mentioned quadratic expression round to two decimal places is $0.75$ .

Explanation of Solution

Given information:

Consider the statement the arctangent function and its polynomial expression as mentioned in the problem.

Formula:

By the use of graph utility.

Graph:

The graph of the above mentioned statement is mentioned below.

The graph below mentioned is on real number line on the x axis and y axis where red curve indicates the curve of the quadratic expression $5x^3+x^2-x-2=0$ .

  

The above mentioned graph is of quadratic expression $5x^3+x^2-x-2=0$ .

As we observe the above mentioned graph that it has the value where it satisfied the both left hand side and right hand side.

Since the above graph has no value for $x\in$ integer.

Therefore x has decimal value where it satisfies its equation.

So, the value of the quadratic expression $5x^3+x^2-x-2=0$ has the value $0.75$ which is round off to two decimal places.