On a chapter test, Stephanie uses the rules of equation solving and inverse operations to solve the cubic equation below. The directions on the test are not very specific; however, they do say to give an exact solution. Stephanie is not
sure if she should submit a decimal approximation or a simplified radical as the answer.
423
756
1. What recommendation can you make to Stephanie regarding her answer to the cubic equation above? In your
recommendation, explain what the term "exact" indicates with regards to the solution.
2. Solve the cubic equation from Stephanie's test. Submit two solutions for the equation-a) your answer as a decimal
approximation, rounded to the nearest hundredth, and b) as a simplified radical. Use substitution to check each
version of your solution in the original equation.
3. After solving the test question and checking both the decimal solution and the simplified radical form, would you
change your recommendation (in Part 1) to Stephanie regarding the format of her answer? Use complete sentences
to explain your reasoning.