Question

if x+1/x=3 find the value of x3+1/x3​

Answer 1

Step-by-step explanation:

Given x+ x/1 =3

cubing on both sides

(x+ x/1 )3 =3 power is 3

x3 +3(x 2) ( x/1 )+ 3(x) ( x/1 ) 2 +( x/1 ) 3 =27

⟹x3 +3(x+ x/1 )+ 1/x3 =27

⟹x3 + x3/1

=27−3(3)=27−9=18 ans.

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Answer 2

x + 1/x =3

cubing both sides

( x + 1/x)³ = 3³

x³ + 1/x³ + 3(x + 1/x) = 27

x³ + 1/x³ + 3(3) =27

x³ + 1/x³ +9 = 27

x³ + 1/x³ = 18