Answer:
Explanation:
Sum = coefficient of x = -5
Product = constant * coefficient of x² = 1 * 6 = 6
Factors = (-2) , (-3)
When we multiply, (-2)*(-3) we get = +6 and we add (-2) + (-3) = -5
Using this factors rewrite the middle terms
x² - 5x + 6 = 0
x² - 3x - 2x + (-2)*(-3) = 0
x(x - 3) - 2(x - 3) = 0
(x - 3)(x-2)=0
x - 3 = 0 ; x -2 =0
x = 3 ; x = 2
Solution: x = 2 , 3