Write a program in C++

1. When floating point numbers (i.e. float) are added in C/C++, round-off errors can occur if the numbers differ by more than 7 significant digits. Recall that the roots of the quadratic equation ax2 + bx+c=0 root1 = -b+d root2 = bad where d=b2 - 4ac 2a 9 are real if and only if 62 - 4ac >=0. To illustrate round-off problems, write a program that computes the roots of a quadratic equation. The program reads coefficients a, b, and c from the keyboard, checks the existence of real roots, computes the roots using the above formula if real roots exits, and prints the roots to the screen, otherwise it prints a message to the screen stating that no real roots exist. Here are three sample inputs/ouputs: Enter the three coefficients: 1-5 6 a = 1.000000, b = -5.000000, c = 6.000000 root1 = 3.000000 root2 = 2.000000 Enter the three coefficients: 1 2 3 a = 1.000000, b = 2.000000, c = 3.000000 No real roots found Enter the three coefficients: 1.0 - 10.0001 25.0005 a = 1.000000, b = -10.000100, c = 25.000500 root1 5.001431 root2 = 4.998669 In case 3, there will be precision problems and the estimated roots will be near but not equal to the true roots of 5.0000 and 5.0001