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Problem with Mathematica driving me nuts

FindRoot[x^2 == 4x - 4, {x, 1}]

{x -> 1.99902}

FindRoot[x^2 - 4*x + 4, {x, 3}]

{x -> 2.00098}

When the root is clearly two.
Is Mathematica using Newton's Method like a Ti-92?
Even if so, why wont it give a more accurate answer?
I've tried N[%,30] but it doesn't do anything.
I'm new to Mathematica coming over from a Ti-92, so everything is
frustrating right now.

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