kirstinandmike kirstinandmike
  • 27-05-2022
  • Mathematics
contestada

Solve the equation with rational exponents
(x-1)3/2=27

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loneguy
loneguy loneguy
  • 27-05-2022

[tex]~~~~~~(x-1)^{\tfrac 32} =27\\\\\implies \left[(x-1)^{\tfrac 12} \right]^3 = 3^3\\\\\implies (x-1)^{\tfrac 12} = 3~~~~~~~~~;[\text{Cube root on both sides}]\\\\\implies x -1 = 9~~~~~~~~~~~~;[\text{Square both sides}]\\\\\implies x = 10[/tex]

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