Answer:
see below
Step-by-step explanation:
The first solution is incorrect. To use the zero property, the right hand side must be zero.
x^2 -5x +6 =2
Subtract 2 from each side
x^2 -5x+6-2 = 2-2
x^2 -5x+4 =0
Factor
(x-4) (x-1) =0
x-4 =0 x-1=0
x=4 x=1
The second solution is incorrect. They factored incorrectly. They would get +5x as a middle term instead of -5x
x^2 -5x +6 =2
Subtract 2 from each side
x^2 -5x+6-2 = 2-2
x^2 -5x+4 =0
Factor
(x-4) (x-1) =0
x-4 =0 x-1=0
x=4 x=1
