CarsinA685005 CarsinA685005
  • 29-10-2022
  • Mathematics
contestada

solve the equation for all the values of x by completing the squarex²+67=18x

Respuesta :

LilyahnaL780226 LilyahnaL780226
  • 29-10-2022
[tex]\begin{gathered} x^2+\text{ 67 -18x = 0} \\ x^2\text{ - 18x + 67 + 14 = 14} \\ x^2\text{ -18x + 81 = 14} \\ (x\text{ -9)(x-9) = }14 \\ (x-9)^2\text{ }=\text{ 14} \\ x-9=\text{ }\pm\text{ }\sqrt[]{14} \\ x\text{ = }\pm\sqrt[]{14}\text{ + 9 } \end{gathered}[/tex]

So the answer is

[tex]x=\sqrt[]{14}+9\text{ o }x=-\sqrt[]{14}+9\text{ }[/tex]

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