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Solving quadratic equations

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YOU.com answered on December 31, 2021 Popularity 9/10 Helpfulness 2/10

answer Solving quadratic equations

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Solving quadratic equations

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import math

def solve_quadratic(a, b, c):
    # Calculate the discriminant
    discriminant = b**2 - 4*a*c
    
    # Check if the equation has complex roots
    if discriminant < 0:
        return "Complex Roots"
    
    # Calculate the roots
    root1 = (-b + math.sqrt(discriminant)) / (2*a)
    root2 = (-b - math.sqrt(discriminant)) / (2*a)
    
    # Return the roots
    return root1, root2

# Example usage
a = 1
b = -5
c = 6
roots = solve_quadratic(a, b, c)
print("Roots:", roots)

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Contributed on Sep 11 2023

YOU.com

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quadratic equation

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(-b-sqrt(b**2-4*a*c))/(2*a)
(-b+sqrt(b**2-4*a*c))/(2*a)
If that doesn't work,
((0-b)-sqrt(b**2-4*a*c))/(2*a)
((0-b)+sqrt(b**2-4*a*c))/(2*a)

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Contributed on Dec 31 2021

Thankful Toucan

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quadratic equations

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Formula:
(-b±√(b²-4ac))/(2a)

general form:
ax^2 + bx + c = 0
x^2 + bx + c = 0

some of the other hidden forms:
x^2 = bx - c (quadriatic after transposition)
c/bx+d = x (where you end up with a quadriatic after cross multiplication)

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Contributed on Feb 11 2023

Al Ayman Sarker

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quadratic equation

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Δ=b2−4ac 
(-b±√Δ)/2a

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Contributed on Jan 30 2022

BGOPC

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quadratic equation formula

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import math

def solve_quadratic_equation(a, b, c):
    discriminant = b**2 - 4*a*c
    
    if discriminant > 0:
        # Two distinct real roots
        root1 = (-b + math.sqrt(discriminant)) / (2*a)
        root2 = (-b - math.sqrt(discriminant)) / (2*a)
        return root1, root2
    elif discriminant == 0:
        # One real root
        root = -b / (2*a)
        return root
    else:
        # Complex roots
        real_part = -b / (2*a)
        imaginary_part = math.sqrt(abs(discriminant)) / (2*a)
        root1 = complex(real_part, imaginary_part)
        root2 = complex(real_part, -imaginary_part)
        return root1, root2

# Example usage with coefficients a, b, and c
a = 1
b = -3
c = 2

roots = solve_quadratic_equation(a, b, c)
print("Roots:", roots)

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Contributed on Sep 12 2023

YOU.com

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