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2. As every conscientious algebra student knows, the quadratic formula gives two solutions to each quadratic equation of the form ar + bx + c

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2. As every conscientious algebra student knows, the quadratic formula gives two solutions to each quadratic equation of the form ar + bx + c = 0 (where a is non-zero). The solutions are given by 20 a. Using Java's built-in Math.pow and Math.sqrt methods, write a method called printRelots that takes parameters for the coefficients a, b, and c. The method should first test the value of the determinant b2-4a to determine whether it is positive, zero, or negative: 1. If the determinant is positive, then there are two real roots, and the method should calculate and print both 2. If the determinant is zero, then there is one real root and the method should calculate and print that root 3. If the determinant is negative, then there are no real roots and the method should print "No real roots! Within the same source code file as your solution for part (a), write a main method that prompts the user to enter method from part (a), passing as arguments the values of a, b, and c entered by the user. Continue prompting the and return the integer 1 (meaning that one real root was printed). and return the integer 0 (meaning that there are no real roots) b. values for a, b, and c that describe a parabola with two real roots. Your main method should then call your user for new values of a, b, and c and calling the method from part (a) until the value returned by the method from part (a) equals two (meaning that two real roots were printed)

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