solve x² - 5x + 6 = 0
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To solve the equation \( x^2 - 5x + 6 = 0 \), we can factor it:
\[
(x - 2)(x - 3) = 0
\]
Setting each factor to zero gives us the solutions:
\[
x - 2 = 0 \quad \Rightarrow \quad x = 2
\]
\[
x - 3 = 0 \quad \Rightarrow \quad x = 3
\]
Thus, the solutions are \( x = 2 \) and \( x = 3 \).