Question 1 : (Solve quadratic equations) The two roots of a quadratic equation ax² + bx + c = 0 can be obtained using the following formula : -b + Vb – 4ac -b – VB – 4ac 4ас and 2 2а 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 Equation.java for solving a quadratic equation 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 that you can use Math.pow(x, 0.5) to compute the discriminant. Here are some sample runs. Enter a, b, c: 1.0 3 1 -Enter The equation has two roots -0.381966 and -2.61803 Enter a, b, c: 1 2.0 1 -tnter The equation has one root -1 Enter a, b, c: 1 2 3 -Enter The equation has no real roots
Question 1 : (Solve quadratic equations) The two roots of a quadratic equation ax² + bx + c = 0 can be obtained using the following formula : -b + Vb – 4ac -b – VB – 4ac 4ас and 2 2а 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 Equation.java for solving a quadratic equation 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 that you can use Math.pow(x, 0.5) to compute the discriminant. Here are some sample runs. Enter a, b, c: 1.0 3 1 -Enter The equation has two roots -0.381966 and -2.61803 Enter a, b, c: 1 2.0 1 -tnter The equation has one root -1 Enter a, b, c: 1 2 3 -Enter The equation has no real roots
C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter5: Repetition Statements
Section5.7: Do While Loops
Problem 6E: (Numerical analysis) Here’s a challenging problem for those who know a little calculus. The...
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