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Solve by completing the square
x^2-2x-5=0

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x^2-2x-5=0 \\ x^2-2x+1-6=0\\ (x-1)^2=6\\ x-1=\sqrt6 \vee x-1=-\sqrt6\\ x=1+\sqrt6 \vee x=1-\sqrt6
User Sir Rufo
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