Question

Which of the following is a solution to the equation x
2
– 6x + 5 = 0?

Answer 1

\[x ^{2}-6x+5=0\] factor getting (x-5)(x-1)=0.
If a product of factors is 0 (as above) then the factors are 0 or at least one of them!.
Set the factors to 0 and solve.
x-5=0, x=5
x-1=0, x=1