Question

Please answer this question I really want the answer

Answer 1

Hey

Here is your answer,

Given (a+1/a) 2 = 3
Therefore (a + 1/a) = √3
Recall the formula, (a3 + b3) = (a + b)3 - 3ab(a + b)
Therefore, (a3 + 1/a3) = (a + 1/a)3 - 3 x a x 1/a (a + 1/a)
= (√3)3 - 3(√3) = 3√3 - 3(√3 = 0

Hope it helps you!

Answer 2

Heya !!





( a + 1/a )² = 3



a + 1/a = √3






Cubing on both sides ,



( a + 1/a )³ = (√3)³





a³ + 1/a³ + 3 a × 1/a ( a + 1/a ) = 3√3




a³ + 1/a³ + 3 × √3 = 3√3




a³ + 1/a³ = 3√3 - 3√3


a³ + 1/a³ = 0.