Solve a quadratic equation with one variable using Python.

This article will guide you on how to solve a quadratic equation with one variable using Python, an equation you learned in 9th grade. Before we start writing the program in Python, we must first know how to solve a quadratic equation:

How to solve a quadratic equation with one variable

Solving a quadratic equation means finding the values ??of x such that when x is substituted into the equation, the result is satisfied .

Step 1: Calculate ?=b ² -4ac

Step 2: Compare ? with 0

• ? < 0 => equation (1) has no solution
• ? = 0 => equation (1) has a double root
• ? > 0 => equation (1) has 2 distinct solutions, we use the following solution formula :

and

Solve quadratic equations with one variable using Python.

Step 1 : Allow the user to input three numbers: a, b, c, with the condition that a and b ? 0.

Step 2 : Calculate Delta (?)

Step 3 : Based on the analysis of the quadratic equation above, we can use the following formula to calculate the roots of the quadratic equation:

x = (-b ± sqrt(b^2 - 4ac)) / 2a where  sqrt() is the function for calculating the square root.

Python code to solve a quadratic equation with one variable:

import math print("Gi?i ph??ng trình b?c 2: ax2 + bx + c = 0 (a, b khác 0)") print("B?n ?ang làm bài t?p Python trên tipsmake") print("============") # Nh?p s? a, b và ki?m tra ?i?u ki?n khác 0 a = float(input("M?i b?n nh?p h? s? a: ")) while True: if a == 0: a = float(input("S? a ph?i khác 0. M?i nh?p l?i s? a: ")) else: break b = float(input("M?i b?n nh?p h? s? b: ")) while True: if b == 0: b = float(input("S? b ph?i khác 0. M?i nh?p l?i s? b: ")) else: break # Nh?p s? c c = float(input("M?i b?n nh?p h? s? c: ")) # Tính Delta delta = b**2 - 4 * a * c # Tìm nghi?m c?a ph??ng trình if delta < 0: print("Ph??ng trình vô nghi?m") elif delta == 0: print("Ph??ng trình có nghi?m kép x1 = x2 = ", -(b / (2 * a)) ) else: print("Ph??ng trình có hai nghi?m phân bi?t:") print("x1 = ", (-(b) + math.sqrt(delta))/(2*a) ) print("x2 = ", (-(b) - math.sqrt(delta))/(2*a) )

Try running the code above using tipsmake's Python Online tool and see the results! Here are some examples you can try:

• (a=1, b=-3, c=2)
• (a=1, b=1, c=-6)