SOLUTION: can you please help me: (((solve f(0)=0 from the function f(x)=x^2-2x+1)))

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Question 153011This question is from textbook Algebra structure and method book 1
: can you please help me: (((solve f(0)=0 from the function f(x)=x^2-2x+1))) This question is from textbook Algebra structure and method book 1

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given function


Plug in


Notice we have a quadratic equation 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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