Write a C++ program to determine whether the roots of a quadratic equation are real or imaginary, utilizing the discriminant method. The discriminant, is calculated using the formula: discriminant =b*b - (4*a*c) where a, b, and c are the coefficients of the quadratic equation Your program should: Prompt the user to enter the coefficients a, b, and c. Calculate the discriminant using the provided formula. Based on the value of the discriminant, determine whether the roots are real or imaginary: If discriminant > 0, print "The roots are real and different." If discriminant = 0, print "The roots are real and the same." If discriminant < 0, print "The roots are complex and different." Ensure the program handles the case where a is zero, indicating that it's not a quadratic equation.

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Author:James Kurose, Keith Ross
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Write a C++ program to determine
whether the roots of a quadratic equation
are real or imaginary, utilizing the
discriminant method. The discriminant, is
calculated using the formula: discriminant
=b*b - (4*a*c)
where a, b, and c are the coefficients of the
quadratic equation
Your program should:
Prompt the user to enter the coefficients a,
b, and c.
Calculate the discriminant using the
provided formula.
Based on the value of the discriminant,
determine whether the roots are real or
imaginary:
If discriminant > 0, print "The roots are real
and different."
If discriminant = 0, print "The roots are real
and the same."
If discriminant < 0, print "The roots are
complex and different."
Ensure the program handles the case
where a is zero, indicating that it's not a
quadratic equation.
Transcribed Image Text:Write a C++ program to determine whether the roots of a quadratic equation are real or imaginary, utilizing the discriminant method. The discriminant, is calculated using the formula: discriminant =b*b - (4*a*c) where a, b, and c are the coefficients of the quadratic equation Your program should: Prompt the user to enter the coefficients a, b, and c. Calculate the discriminant using the provided formula. Based on the value of the discriminant, determine whether the roots are real or imaginary: If discriminant > 0, print "The roots are real and different." If discriminant = 0, print "The roots are real and the same." If discriminant < 0, print "The roots are complex and different." Ensure the program handles the case where a is zero, indicating that it's not a quadratic equation.
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