(Algebra: solving quadratic equations) The two roots of a quadratic equation
ax2+ bx + c = 0 can be
obtained using the following formula:
r1 = —b + √( b2— 4ac) and
r2 = —b — √(b2— 4ac )2a 2ab2
— 4ac is called the discriminant of the quadratic equation. If it is positive, the equation has two real
roots. If it is zero, the equation has one root. If it is negative, the equation has no real roots.
Write a program that prompts the user to enter values for a, b, and c and displays the result based on the discriminant. If the discriminant is positive, display two roots. If the discriminant is 0, display one root.
Otherwise, display "The equation has no real roots". Note you can use Math. pow(x , 0. 5) to compute
√x. Here are some sample runs.
Enter a, b, c: 1.0 3 1
The roots are -0.381966 and -2.61803
Enter a, b, c: 1 2.0 1
The root is -1
Enter a, b, c: 1 2 3
The equation has no real roots.