Quadratic Formula Calculator

Solve ax² + bx + c = 0 — real and complex roots with step-by-step solution

1x² + -5x + 6 = 0

Discriminant (b² − 4ac)

1

Two distinct real roots

Roots

x₁

3

x₂

2

Vertex (turning point)

(2.5, -0.25)

The parabola opens upward ↑

Step-by-step solution

  1. 1Given: 1x² + -5x + 6 = 0
  2. 2Discriminant: b² − 4ac = -5² − 4(1)(6) = 25 − 24 = 1
  3. 3D > 0: two distinct real roots
  4. 4x₁ = (−-5 + √1) / (2×1) = 3.000000
  5. 5x₂ = (−-5 − √1) / (2×1) = 2.000000
  6. 6Vertex: (2.5000, -0.2500)

FAQ

Is Quadratic Formula Calculator free to use?

Yes, Quadratic Formula Calculator is completely free to use on UtilityCove.

Does Quadratic Formula Calculator upload my data?

No. Quadratic Formula Calculator runs in your browser, so your input stays on your device.

Can I use Quadratic Formula Calculator on mobile?

Yes. Quadratic Formula Calculator works on modern mobile and desktop browsers.

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