How do you solve the quadratic equation by completing the square: x^2-12x+20=0?

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I found: ##x_1=10## ##x_2=2##

Rearrange your equation: ##x^2-12x=-20## add and deduct ##36##; ##x^2-12xcolor(red)(+36-36)=-20## ##x^2-12x+36=-20+36## so you can write: ##color(blue)((x-6)^2=16)## square origin twain sides: ##x-6=+-sqrt(16)=+-4## so you end up after a while two solutions: ##x_1=6+4=10## ##x_2=6-4=2##

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Source be-mixed