To find the solution set of the equation x² – 3x + 2 = 0, we can factor the quadratic expression.
The equation can be factored as follows:
1. Look for two numbers that multiply to +2 (the constant term) and add to -3 (the coefficient of x). These numbers are -1 and -2.
2. Therefore, we can rewrite the equation as:
(x – 1)(x – 2) = 0
3. Now, we can solve for x by setting each factor equal to zero:
x – 1 = 0 → x = 1
x – 2 = 0 → x = 2
Therefore, the solutions are x = 1 and x = 2.
The solution set is {1, 2}.