46 lines
1.4 KiB
Python
46 lines
1.4 KiB
Python
import math
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def solve_pq(p, q):
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print(f"Solving the quadratic equation: x^2 + ({p})x + ({q}) = 0")
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# Step 1: Calculate p/2
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p_half = p / 2
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print(f"Step 1: Calculate p/2 -> p/2 = {p_half}")
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# Step 2: Calculate (p/2)^2
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p_half_squared = p_half**2
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print(f"Step 2: Calculate (p/2)^2 -> ({p_half})^2 = {p_half_squared}")
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# Step 3: Calculate discriminant (p/2)^2 - q
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discriminant = p_half_squared - q
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print(
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f"Step 3: Calculate the discriminant -> ({p_half_squared}) - ({q}) = {discriminant}"
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)
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# Step 4: Check if discriminant is non-negative (real solutions exist)
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if discriminant < 0:
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print("Step 4: Discriminant is negative, no real solutions.")
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return
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# Step 5: Calculate the square root of the discriminant
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sqrt_discriminant = math.sqrt(discriminant)
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print(
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f"Step 5: Calculate the square root of the discriminant -> sqrt({discriminant}) = {sqrt_discriminant}"
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)
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# Step 6: Calculate the two possible solutions
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x1 = -p_half + sqrt_discriminant
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x2 = -p_half - sqrt_discriminant
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print("Step 6: Calculate the two solutions:")
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print(f"x1 = -({p_half}) + {sqrt_discriminant} = {x1}")
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print(f"x2 = -({p_half}) - {sqrt_discriminant} = {x2}")
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# Step 7: Output the solutions
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print(f"Solutions: x1 = {x1}, x2 = {x2}")
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# Example usage
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p = float(input("Enter the value of p: "))
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q = float(input("Enter the value of q: "))
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solve_pq(p, q)
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