You are to create a program in C++ that computes the roots of the equation ax²+ bx + c = 0 using the Quadratic Formula:

x = (-b +/- sqrt(b² - 4 *a*c) )/ 2*a

The program shall read lines containing 3 integers representing a, b, and c from an input text file and writes the set and its corresponding floating-point roots to either an output text file or the screen.

Requirements:

The program will be done in C++ using Cygwin and g++. You may not use stdio.h.

The input file will contain three integers per line, representing values for a, b, and c respectively. Each line of the output file or screen shall contain the set of three integers followed by the two floating-point roots, with all values separated by tabs. All floating-point values shall be printed with 4 digits after the decimal point. If an input set generates complex roots, the output should state complex rather than computing the roots.

All integers in the input file will be between -99 and 99. There is no limit to the size of the input file.

The output file / screen must print the number sets in the same order as they appear in the input file .