This statement is True.
To verify, we can factor the quadratic equation x² – 6x + 8. We are looking for two numbers that multiply to 8 (the constant term) and add up to -6 (the coefficient of x).
The numbers -2 and -4 work because:
- -2 * -4 = 8
- -2 + -4 = -6
Thus, we can factor the equation as:
(x – 2)(x – 4) = 0
Setting each factor equal to zero gives:
- x – 2 = 0 → x = 2
- x – 4 = 0 → x = 4
So the solutions to the equation are indeed x = 2 and x = 4. Therefore, the statement is true.