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  • 03-01-2017
  • Mathematics
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8. Find all the real fourth roots of 256

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surjithayer surjithayer
  • 03-01-2017
x^4=256
x^4-256=0
(x^2)^2-(16)^2=0
(x^2+16)(x^2-16)=0
either x^2+16=0
it gives complex roots.
or x^2-16=0
or x^2-4^2=0
(x+4)(x-4)=0
either x+4=0,x=-4
or x-4=0
x=4
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