### Chapter 6

### Exercises

- Using the top-down method, please describe an algorithm for a program to solve the real roots of a quadratic equation

Your algorithm should ask the user for the coefficients. To calculate the roots of the equation, your algorithm should calculate the discriminant D given by:

If D > 0, the algorithm displays a message: “The equation has two roots” and then displays the roots.

If D = 0, the algorithm displays a message: “The equation has one root”, and then displays the root.

If D < 0, the algorithm displays a message: “The equation has no real roots”.Create a flowchart for your algorithm.

- Using the top-down method, please describe an algorithm for a program that calculates the cost of a car rental according to the following price schedule:

Type of Car Rental Period 1-6 days 7-27 days 28-60 days Class B $27 per day $162 for 7 days,

+$25 for each additional day$662 for 28 days,

+$23 for each additional dayClass C $34 per day $204 for 7 days,

+$31 for each additional day$810 for 28 days,

+$28 for each additional dayClass D Class D cannot be rented for less than 7 days $276 for 7 days,

+$43 for each additional dayx$1,136 for 28 days

+$38 for each additional dayThe algorithm asks the user to enter the rental period and type of car. The algorithm should display the appropriate cost. If a period longer than 60 days is entered, a message “Rental is not available for more than 60 days” should be displayed. If a rental period of less than 6 days is entered for Class D, a message “Class D cars cannot be rented for less than 6 days” should be displayed. Create a flowchart for your algorithm.