EliusE53307 EliusE53307

29-10-2022
Mathematics

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solve the equation for all values of x by completing the squarex²-14x+32=0

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LucianaY81748 LucianaY81748

29-10-2022

Given

[tex]\begin{gathered} x^2-14x+32=0 \\ x^2-14x+49-49+32=0 \\ (x-7)^2=49-32 \\ (x-7)^2=17 \\ x-7=\pm\sqrt[]{17} \\ \\ x=7-\sqrt[]{7} \\ x=7+\sqrt[]{7} \end{gathered}[/tex]

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