Question

t^2-2t+1=0

Answer 1

1. Factor
2. Set each factor equal to 0
3. Solve each equation.

Answer 2

(t-2)(t+2) Am i right?

Answer 3

Multiply and see if you get what you started with.

Answer 4

it's not a difference of squares

Answer 5

Do you know FOIL ?

Answer 6

(t-1)(t-1)

Answer 7

Very good.

Answer 8

Now set each factor equal to 0 and solve each equation.

Answer 9

t-1=0
t=1 (1,1)

Answer 10

Yes. The root is t = 1 and it is a double root or sometimes we say that it has multiplicity 2 but you don't list it twice. So the solution set is {1}. Don't use ( ) because that makes it an ordered pair and not a solution set.