SOLUTION: I'm confused with this function problem. It states: For the function f(x) = x^2-2x+1 solve f(x) = 0. I'm confused about this question, please help me. Thank you.

Question 150813: I'm confused with this function problem.
It states: For the function f(x) = x^2-2x+1 solve f(x) = 0.
I'm confused about this question, please help me. Thank you.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given function

Plug in

Here are two ways to solve for x:

Method # 1 Factoring:

Start with the given equation

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for x in each case

Since we have a repeating answer, our only answer is

-------------------------

Method # 2 Quadratic Formula:

Start with the given equation.

From , we can see that , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solution is

==========================================

Answer:

Using either method, we get the solution

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