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Quadratic Solver
Find the roots of ax² + bx + c = 0 – real or complex.
Enter Coefficients
x² + 0x + 0 = 0
a (x²)
b (x)
c
Discriminant (Δ)
Δ = 1
Roots
x₁ = 3, x₂ = 2
Equation:
x² − 5x + 6 = 0
Discriminant (Δ):
1
Δ > 0 → Two distinct real roots
Roots:
x₁ = 3, x₂ = 2
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How it works
Enter coefficients
– the values of a, b, and c in the quadratic equation ax² + bx + c = 0.
Discriminant Δ = b² − 4ac
– determines the nature of the roots.
Δ > 0
– two distinct real roots.
Δ = 0
– one repeated real root.
Δ < 0
– two complex conjugate roots.
Roots formula:
x = (−b ± √Δ) / (2a).
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– save the complete solution.