Chapter 4.2, Problem 9CYU

To determine

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

Answer to Problem 9CYU

No real solution.

Explanation of Solution

Given:

The given equation is $9-x^2=12$ .

Calculation:

The given equation is expressed in to standard form:

  $\begin{array}{l}9-x^2=12\{\text{given equation}}\\ 9-12-x^2=12-12\left\{\text{subtract 12 on both sides}\right\}\\ \therefore x^2=-3\end{array}$ .

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.