*3.1 (Algebra: solve quadratic equations) The two roots of a quadratic equation ax? + bæ + c = 0 can be obtained using the following formula: -b + vb? – 4ac -b - V – 4ac and r2 2а 2а b° – 4ac is called the discriminant of the quadratic equation. If it is positive, the equation has two real roots. If it is zero, the equation has one root. If it is negative, the equation has no real roots. Write a program that prompts the user to enter values for a, b, and c and displays the result based on the discriminant. If the discriminant is positive, display two roots. If the discriminant is 0 , display one root. Otherwise, display “The equation has no real roots." Note you can use Math.pow(x, 0.5) to compute T. Sample Run for Exercise03_01.java Enter input data for the program (Sample data provided below. You may modify it.) 13.5 45.2 12.4

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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*3.1
(Algebra: solve quadratic equations) The two roots of a quadratic equation
ax? + bx + c = 0 can be obtained using the following formula:
--b + vb? – 4ac
and r2
-b - V – 4ac
2a
2a
b² – 4ac is called the discriminant of the quadratic equation. If it is positive, the equation
has two real roots. If it is zero, the equation has one root. If it is negative, the equation
has no real roots.
Write a program that prompts the user to enter values for a, b, and c and displays the
result based on the discriminant. If the discriminant is positive, display two roots. If the
discriminant is 0, display one root. Otherwise, display "The equation has no real roots."
Note you can use Math.pow (x, 0.5) to compute VT.
Sample Run for Exercise03_01.java
Enter input data for the program (Sample data provided below. You may modify it.)
13.5 45.2 12.4
Show the Sample Output Using the Preceeding Input Reset
Execution Result:
Enter a, b, c: 13.5
45.2
12.4
The equation has two roots -0.3014832803673518 and -3.046664867780797
JDK8>
Transcribed Image Text:*3.1 (Algebra: solve quadratic equations) The two roots of a quadratic equation ax? + bx + c = 0 can be obtained using the following formula: --b + vb? – 4ac and r2 -b - V – 4ac 2a 2a b² – 4ac is called the discriminant of the quadratic equation. If it is positive, the equation has two real roots. If it is zero, the equation has one root. If it is negative, the equation has no real roots. Write a program that prompts the user to enter values for a, b, and c and displays the result based on the discriminant. If the discriminant is positive, display two roots. If the discriminant is 0, display one root. Otherwise, display "The equation has no real roots." Note you can use Math.pow (x, 0.5) to compute VT. Sample Run for Exercise03_01.java Enter input data for the program (Sample data provided below. You may modify it.) 13.5 45.2 12.4 Show the Sample Output Using the Preceeding Input Reset Execution Result: Enter a, b, c: 13.5 45.2 12.4 The equation has two roots -0.3014832803673518 and -3.046664867780797 JDK8>
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