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Can you find the solution/s to these quadratic equations? x2 - 2x + 2

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Answer to a math question Can you find the solution/s to these quadratic equations? x2 - 2x + 2

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Gene
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${x}_{1,2}=\frac{-(-2)\pm \sqrt{(-2)^{2}-4\cdot 1\cdot 2}}{2\cdot 1}$
${x}_{1,2}=\frac{-(-2)\pm 2i}{2\cdot 1}$
${x}_{1}=\frac{-(-2)+2i}{2\cdot 1},{x}_{2}=\frac{-(-2)-2i}{2\cdot 1}$
$=1+i$
$=1-i$
$x=1+i,1-i$

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