In C++ Design a class named QuadraticEquation for a quadratic equation  .   The class contains: Data fields:  a, b, and c that represents three coefficients. A default constructor A constructor for the arguments for a, b, and c. Three get functions for a, b, and c. Three set function for a, b and c. A function named getDiscriminant() that returns the discriminant, which is  . Two member functions named getRoot1() and getRoot2() for returning two roots of the equation     and    These functions are useful only if the discriminant is non-negative. Let these functions return 0 if the discriminant is negative.   Implement the class.   Write a test program that prompts the user to enter values for  ,  , and  , and displays the result based on the discriminant. If the discriminant is positive, display the two roots. If the discriminant is 0, display the one root. Otherwise, display “The equation has no roots”.

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter12: Adding Functionality To Your Classes
Section12.2: Providing Class Conversion Capabilities
Problem 6E
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In C++

Design a class named QuadraticEquation for a quadratic equation  .

 

The class contains:

  • Data fields:  a, b, and c that represents three coefficients.
  • A default constructor
  • A constructor for the arguments for a, b, and c.
  • Three get functions for a, b, and c.
  • Three set function for a, b and c.
  • A function named getDiscriminant() that returns the discriminant, which is  .
  • Two member functions named getRoot1() and getRoot2() for returning two roots of the equation

 

  and 

 

These functions are useful only if the discriminant is non-negative. Let these functions return 0 if the discriminant is negative.

 

Implement the class.

 

Write a test program that prompts the user to enter values for  ,  , and  , and displays the result based on the discriminant.

  • If the discriminant is positive, display the two roots.
  • If the discriminant is 0, display the one root.
  • Otherwise, display “The equation has no roots”.
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