vagoyal6 vagoyal6
  • 15-06-2020
  • Mathematics
contestada

If x=1+√2, evaluate x³+1/x³.

Respuesta :

alainacole619 alainacole619
  • 15-06-2020

Answer:

18

Step-by-step explanation:

So we start solving like:

x+1x=3

(x+1x)3=33

x3+3.x2.1x+3.x.1x2+1x3=27

(x3+1x3)+3.x2.1x+3.x.1x2=27

x3+1x3+(3x+3x)=27

x3+1x3+3(x+1x)=27

x3+1x3+3×3=27

x3+1x3+9=27

x3+1x3=18  

Therefore the answer is 18

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