3.4. Discriminant Problem

Ozi wants to help his sister with her math homework, which is about determinig whether a given quadratic equation has real roots or not.

Remember that a given quadratic equation \(ax^2 + bx + c\) has real roots if the discriminant is greater than or equal to 0, where the discriminant is defined as follows:

(3.4.1)\[\Delta = b^2 - 4ac\]

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Write a function called has_real_roots that takes three integers as the coefficients of the equation and returns True if this equation has real roots and False if not.

Sample I/O:

>>> has_real_roots(1, -4, 4)
True

>>> has_real_roots(1, -2, 4)
False

Show the Answer

def has_real_roots(a, b, c):
    delta = b**2 - 4*a*c
    return delta >= 0