Question

Solve x^2 - 5x + 6 = 0.

Solution

1. Find two numbers whose product is 6 and whose sum is -5. They are -2 and -3.
2. Factorise: (x - 2)(x - 3) = 0.
3. So x - 2 = 0 or x - 3 = 0.
4. Therefore, x = 2 or x = 3.