How do I solve x² − 5x + 6 = 0?

How to solve x² − 5x + 6 = 0 by factoring into (x − 2)(x − 3) = 0, giving x = 2 or x = 3, and where those roots sit on the parabola.

Step-by-step explanation

  1. Let's consider the quadratic equation x squared minus 5x plus 6 equals 0.
  2. We can factor the quadratic expression into two binomials: (x minus 2) times (x minus 3).
  3. Setting each factor to zero gives us our solutions: x equals 2 or x equals 3.
  4. Visually, these solutions are the x-intercepts of the parabola y equals x squared minus 5x plus 6.

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