tobiabeny3
tobiabeny3 tobiabeny3
  • 10-11-2020
  • Mathematics
contestada

find the value of x+1/x=3, then find x^3+1/x^3​

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Itzemily57
Itzemily57 Itzemily57
  • 10-11-2020

Answer:

x+1x=3x+1x=3

(x+1x)3=33(x+1x)3=33

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

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

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

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

x3+1x3+3×3=27x3+1x3+3×3=27

the answer is 18

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yafaadiba2004ox7vzu
yafaadiba2004ox7vzu yafaadiba2004ox7vzu
  • 10-11-2020
The first equation is equal to 1/2 so then you plug in 1/2 to the second expression and you get 9.
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