SOLUTION: for function f(x)=x^2-2x+1,solve f(x)=0 I'm really lost with this one! Your help would be greatly appreciated =)

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Question 297338: for function f(x)=x^2-2x+1,solve f(x)=0 I'm really lost with this one! Your help would be greatly appreciated =)
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given function.


Plug in


Rearrange the equation.


Notice that the quadratic is in the form of where , , 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 only solution is


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