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![{x}^{2} - x + 1 = 0 {x}^{2} - x + 1 = 0](https://tex.z-dn.net/?f=+%7Bx%7D%5E%7B2%7D++-+x+%2B+1+%3D+0)
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Step-by-step explanation:
x^2-x+1=0
x(x-1)-1(x-1)=0
x-1=0
x=1 is the correct answer
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