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The roots of the quadratic equation ax 2 + bx + c ¼ 0, a 6¼ 0 are given by the following formula: b ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi b2 4ac p 2a In this formula, the term b 2 4ac is called the discriminant. If b 2 4ac ¼ 0, then the equation has a single (repeated) root. If b 2 4ac > 0, the equation has two real roots. If b 2 4ac < 0, the equation has two complex roots. Write a program that prompts the user to input the value of a (the coefficient of x 2 ), b (the coefficient of x), and c (the constant term), and outputs the type of roots of the equation. Furthermore, if b 2 4ac 0, the 4 Programming Exercises | 243 program should output the roots of the quadratic equation. (Hint: Use the method pow or sqrt from the class Math to calculate the square root. Chapter 3 explains how to use these methods.)
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