How do you solve x^2 - 2x +1=0?

2 Answers
Alan P.
Jun 25, 2015

x=1

Explanation:

Given
color(white)("XXXX")x^2-2x+1 = 0
Factor the left side to get
color(white)("XXXX")(x-1)(x-1) = 0
From which it follows that
color(white)("XXXX")(x-1) = 0
and
color(white)("XXXX")x=1

MeneerNask
Jun 25, 2015

This is a quadratic equation, that you can factorise.

Explanation:

Find a pair of numbers that add up to -2x and multiplies to +1

Maybe you'll see that that would be -1and-1

Now you can factorise:
=(x-1)*(x-1)=0->x-1=0->x=1

Check your answer:
1^2-2*1+1=0
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