ZamyahU208182 ZamyahU208182
  • 03-11-2022
  • Mathematics
contestada

solve the quadratic equation by the square root method. show all steps.

solve the quadratic equation by the square root method show all steps class=

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VensonQ548695 VensonQ548695
  • 03-11-2022

We have to solve the equation with the square root method:

[tex]\begin{gathered} 2(x-4)^2-6=18 \\ 2(x-4)^2=18+6 \\ 2(x-4)^2=24 \\ (x-4)^2=\frac{24}{2} \\ (x-4)^2=12 \\ \sqrt[]{(x-4)^2}=\sqrt[]{12} \\ x-4=\pm\sqrt[]{12} \\ x=4\pm\sqrt[]{12} \\ x=4\pm2\sqrt[]{3} \end{gathered}[/tex]

Answer: The solutions are:

[tex]\begin{gathered} x_1=4-2\sqrt[]{3} \\ x_2=4+2\sqrt[]{3} \end{gathered}[/tex]

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