savaannahta0yx
savaannahta0yx savaannahta0yx
  • 31-07-2016
  • Mathematics
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how to solve (x+2)^3/4=27

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Panoyin
Panoyin Panoyin
  • 05-08-2016
[tex]\frac{(x + 2)^{3}}{4} = 27[/tex]
[tex]4(\frac{(x + 2)^{3}}{4}) = 4(27)[/tex] Multiply it by 4 on each side.
[tex](x^{2} + 2)^{3} = 108[/tex] 
[tex]\sqrt[3]{(x^{2} + 2)^{3}} = \sqrt[3]{108}[/tex] Find the cube root of each.
[tex]x^{2} + 2 \approx 4.76[/tex]
[tex]x^{2} \approx 2.76[/tex] Subtract 2 from each side.
[tex]\sqrt{x^{2}} \approx \sqrt{2.76}[/tex] Find the square root of each.
[tex]x \approx \±2.76[/tex]
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