x2
+
x
+
= 0
Your equation
Discriminant (Δ)
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Nature of roots—
Step by step
Compute the discriminant b² − 4ac of a quadratic ax² + bx + c and see how many real roots it has.
Step by step
Enter the coefficients a, b and c.
Type a, b and c from the quadratic ax² + bx + c = 0. a cannot be 0.
The discriminant is Δ = b² − 4ac.
Positive means two real roots, zero means one repeated root, and negative means no real roots.