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What quadratic equation has the roots 2 - 3^1/2 and 2 + 3^1/2

 Oct 28, 2016
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What quadratic equation has the roots 2 - 3^1/2 and 2 + 3^1/2

 

\(\begin{array}{|rcll|} \hline [~x-(2 - \sqrt{3}) ~]\cdot[~x-(2 + \sqrt{3}) ~] &=& 0 \\ [~(x-2) - \sqrt{3}) ~]\cdot[~(x-2) + \sqrt{3}) ~] &=& 0 \\ (x-2)^2-(\sqrt{3})^2 &=& 0 \\ x^2-4x+4-3 &=& 0 \\ x^2-4x+1 &=& 0 \\\\ \mathbf{y=x^2-4x+1} \\ \hline \end{array}\)

 

laugh

 Oct 28, 2016

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