\( m ^ { 2 } - 5 x + 6 \)

Did you know this quadratic expression can be factored? You can break it down to find its roots! The roots of the equation \( m^2 - 5m + 6 = 0 \) can be found using the factoring method, leading to \( (m - 2)(m - 3) = 0 \). So, the values of \( m \) that satisfy this equation are \( m = 2 \) and \( m = 3 \). In real-world applications, quadratic equations like \( m^2 - 5m + 6 \) show up in various fields, from physics to finance! For instance, if you're trying to determine the trajectory of an object or optimize costs, solving such equations can help you find maximum or minimum values, ensuring you're on the right track—literally and metaphorically!