Let’s solve the quadratic equation: x² − 5x + 6 = 0
We’ll factor this expression.
We need two numbers that multiply to 6 and add to −5.
Those numbers are −2 and −3.
So, we factor the equation as:
(x − 2)(x − 3) = 0
Now, set each factor equal to zero:
– x − 2 = 0 → x = 2
– x − 3 = 0 → x = 3

Final Answer:
The roots are x = 2 and x = 3