Answer:x = 2 and x = 4Step-by-step explanation:The quadratic equation is:x² - 6x + 8 = 0With coefficients:a = 1b = -6c = 8To solve for x, we can use the quadratic formula:x = (-b ± √(b² - 4ac)) / 2aLet's plug in the values:x = (6 ± √((-6)² - 4(1)(8))) / 2(1)x = (6 ± √(36 - 32)) / 2x = (6 ± √4) / 2x = (6 ± 2) / 2This gives us two possible solutions:x = (6 + 2) / 2 = 4x = (6 - 2) / 2 = 2So, the solutions are x = 2 and x = 4.