Chapter 4.2, Problem 25PPS

To determine

To solve: the given equation. If exact roots cannot be found, state the consecutive integers between which the roots are located.

Answer to Problem 25PPS

No real solution.

Explanation of Solution

Given:

The given equation is $2x^2-8x=-32$ .

Calculation:

The given equation is expressed as

  $\begin{array}{l}2x^2-8x+32=0\left\{\text{add 32 on both the sides}\right\}\\ 2\left(x^2-4x+16\right)=0\{2\text{ as a common factor}}\\ \left(x^2-4x+16\right)=0\end{array}$ .

Now, graph the related quadratic function to show that x -intercept of the graph. Therefore,

  

Looking at the graph, the parabola did not cross the x -axis, therefore, there is no real solution for the graph.

Hence, the given equation has no real solution.