How to factor x2−2x+4=0?

1 Answer
Jacobi J.
Feb 22, 2018

(x−1)2+3=0

Explanation:

Let's factor by completing the square. Our quadratic is in the form ax2+bx+c. We complete the square by taking half of our b value, squaring it, and adding it to both sides of the equation.

We know that b=−2, Half of that is −1, and squaring that gives us 1. Let's add that to both sides. We also have to subtract 4 from both sides so we can be able to factor. We get:

x2−2x+1=−4+1

Simplifying, we get:

x2−2x+1=−3

The left side can be factored as (x−1)2. If we add −1 and −1, we get −2. When we multiply them, we get positive 1.

(x−1)2=−3

Finally, we can add 3 to both sides, and we get:

(x−1)2+3=0

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