Question

if x =2+√3 then x ³+1/x³ is​

Answer 1

Answer:

52

Step-by-step explanation:

given x=2+√3

to find x^3+1/x^3

1/x = 1/2+√3×2-√3/2-√3

1/x = 2-√3/(2)^2-(√3)^2

1/x = 2-√3/4-3

1/x = 2-√3

x+1/x

= 2+√3+2-√3

=2+2=4

on cubing both sides, we have

(x+1/x)^3=(4)^3

x^3+1/x^3+3(x+1/x)=64

x^3+1/x^3+3×4=64

x^3+1/x^3+12=64

x^3+1/x^3=64-12

x^3+1/x^3=52

Answer 2

Answer:

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hope it helps