jocelynnjohnso90
jocelynnjohnso90 jocelynnjohnso90
  • 22-04-2021
  • Mathematics
contestada

Solve the following quadratic equation for all values of xx in simplest form.
4(x-2)^2=16

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Аноним Аноним
  • 22-04-2021

Answer:

[tex]x=4,\:x=0[/tex]

Step-by-step explanation:

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]\frac{4\left(x-2\right)^2}{4}=\frac{16}{4}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex](x-2)^{2} =4[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=4,\:x=0[/tex]

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