Algebra

How to solve

The formula solves any quadratic. Compute the discriminant first; a perfect square means rational roots.

Steps

  1. Identify a, b, c.
  2. Compute the discriminant D = b² − 4ac.
  3. x = (−b ± √D) / (2a); simplify each root.

Example

Solve 2x² − 7x + 3 = 0.

  1. D = 49 − 24 = 25.
  2. x = (7 ± 5)/4 → x = 3 or x = 1/2.

Answer: 1/2, 3

How to type answers

  • Enter as a, b with a ≤ b
Loading drills…