Enter the coefficients of ax² + bx + c = 0. The calculator gives both roots — real or complex — the discriminant and the vertex of the parabola.
Solutions
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x = (−b ± √(b² − 4ac)) ÷ 2a
The discriminant b² − 4ac decides the type of answer: positive gives two real roots, zero gives one repeated root, negative gives a pair of complex roots.
The vertex — the parabola's highest or lowest point — is at x = −b ÷ 2a.
Here a = 1, b = −5 and c = 6. The discriminant is 25 − 24 = 1, so x = (5 ± 1) ÷ 2, giving 3 and 2.
Yes. Use a minus sign for negative coefficients and either a decimal point or comma.