SOLUTION: What is the answer to this equation by using the Square Root Property: x^2-2x+1=18?

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Question 611556: What is the answer to this equation by using the Square Root Property: x^2-2x+1=18?
Answer by nerdybill(6951) About Me  (Show Source):
You can put this solution on YOUR website!
What is the answer to this equation by using the Square Root Property: x^2-2x+1=18?
.
First, you must complete the square:
x%5E2-2x%2B1=18+
x%5E2-2x=17+
take half 'b', square it and add to both sides:
x%5E2-2x%2B1=17%2B1+
%28x-1%29%28x-1%29=18+
%28x-1%29%5E2=18+
now, you can take the square root of both sides:
x-1+=+sqrt%2818%29+
x-1+=+sqrt%283%2A3%2A2%29+
x-1+=+3sqrt%282%29+
x+=+3sqrt%282%29+%2B+1+
.
TWO answers:
x+=+3sqrt%282%29+%2B+1+
and
x+=+-3sqrt%282%29+%2B+1+