SOLUTION: what is the solution of x^2-4x+4=0

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Question 204613: what is the solution of x^2-4x+4=0
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
x%5E2-4x%2B4+=+0 Factor the trinomial.
%28x-2%29%28x-2%29+=+0 Apply the zero product rule.
x-2+=+0 or x-2+=+0 so the roots are:
x+=+2 and x+=+2
This is called a double root and it arises because the vertex of the parabola just touches the x-axis.
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2Cx%5E2-4x%2B4%29