Use C Language Your program should test the users input data for cin eof() and cin good() A single variable quadratic equation is an algebraic equation of the form ax 2 bx c 0, where a, b, and c are three fixed coefficients, and x is a variable that can take on different values The Quadratic cpp program asks the user to enter three values for the coefficients, and it produces no, one or two real roots as described in the paragraphs below Your assignment is to modify the Qudratic1 cpp program so that it contains and uses a C class for the quadratic formula as described below For a quadratic expression such as ax 2 bx c, a real root is any double precision number x such that ax 2 bx c 0 For example, the quadratic expression x 2 4x 3 0 has one of its real roots at x 3 Substituting x 3 into the formula yields the value 0 Its other real root is at x 1 The equation x 2 4x 4 0 has only one root, which is x 2, and the equation x 2 x 1 0 has no real roots There are four rules for finding the real roots of a quadratic expression (1) Coefficient a must be a non zero rational number (2) If a is non zero and b 2 4ac, then there are no real roots (3) If a is non zero and b 2 4ac, then there is one real root at x b 2a (4) If a is non zero, and b 2 4ac, then there are two real roots which are x ( b sqrt (b b 4 a c)) (2 a) and x ( b sqrt (b b 4 a c)) (2 a) where sqrt is the square root function in the cmath library Please specify, design, and implement a class that can store and manage information about a quadratic expression The default constructor should set all three coefficients to zero, and another constructor or method should allow the user to update these coefficients in an object of the class Also, write a member method that returns the number of the roots of a quadratic expression This answer could be either 0, 1, or 2 Write other member methods that among them calculate and return the real roots, if any, of the quadratic equation Also, please create a main() tester which accepts the three coefficient values from the users keyboard Assume that your tester will be run on line, and that it will be started anew for each test run Also, you will have to prompt the user to enter the coefficients

The Answer is in the image, click to view ...

Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on Sep 23, 2024

Use C++ Language. Your program should test the users input data for !cin.eof() and cin.good(). A single-variable quadratic equation is an algebraic equation of the

Use C++ Language. Your program should test the users input data for !cin.eof() and cin.good().

A single-variable quadratic equation is an algebraic equation of the form ax²+bx+c = 0, where a, b, and c are three fixed coefficients, and x is a variable that can take on different values. The Quadratic.cpp program asks the user to enter three values for the coefficients, and it produces no, one or two real roots as described in the paragraphs below. Your assignment is to modify the Qudratic1.cpp program so that it contains and uses a C++ class for the quadratic formula as described below. For a quadratic expression such as ax²+bx+c, a real root is any double precision number x such that ax²+bx+c = 0. For example, the quadratic expression x²+4x+3 = 0 has one of its real roots at x = -3. Substituting x = -3 into the formula yields the value 0. Its other real root is at x = -1. The equation x² 4x + 4 = 0 has only one root, which is x = 2, and the equation x²+x+1 = 0 has no real roots. There are four rules for finding the real roots of a quadratic expression: (1) Coefficient a must be a non-zero rational number. (2) If a is non-zero and b² < 4ac, then there are no real roots. (3) If a is non-zero and b² = 4ac, then there is one real root at x = -b/2a. (4) If a is non-zero, and b² > 4ac, then there are two real roots which are x = (-b + sqrt (b*b - 4*a*c))/(2*a) and x = (-b - sqrt (b*b - 4*a*c))/(2*a)

where sqrt is the square root function in the cmath library.

Please specify, design, and implement a class that can store and manage information about a quadratic expression. The default constructor should set all three coefficients to zero, and another constructor or method should allow the user to update these coefficients in an object of the class. Also, write a member method that returns the number of the roots of a quadratic expression. This answer could be either 0, 1, or 2. Write other member methods that among them calculate and return the real roots, if any, of the quadratic equation.

Also, please create a main() tester which accepts the three coefficient values from the users keyboard. Assume that your tester will be run on-line, and that it will be started anew for each test run. Also, you will have to prompt the user to enter the coefficients.