AbraCalc

Solve 3x² − 12x + 9 = 0

The roots of 3x² − 12x + 9 = 0 are x = 3 and x = 1.

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How to use this tool

  1. Enter a (coefficient of x²), b (coefficient of x) and c (constant) in the fields above.
  2. Results update instantly as you type — or click Calculate.
  3. Read your root 1 (x₁) and the full breakdown beneath it.

Solve 3x² − 12x + 9 = 0, which simplifies to give roots x = 3 and x = 1.

Frequently asked questions

What is the quadratic formula?
For ax² + bx + c = 0, the roots are x = (-b ± √(b²-4ac)) / (2a). The discriminant b²-4ac determines the nature of the roots.