Question

If (a + 1/2) Square = 3 then a power 3 + 1/a power 3 =? .​

Answer 1

Correct Question:

If (a + 1/a) Square = 3 then a power 3 + 1/a power 3 =? .

Answer:

= > ( a + 1/a)² = 3

= > a + 1/a = $\sqrt3$

Cube on both sides:

= > ( a + 1/a )^3 = ($\sqrt3$)^3

= > a^3 + 1/a^3 + 3(a*1/a)( a + 1/a ) = 3$\sqrt3$

= > a^3 + 1/a^3 + 3(1)($\sqrt3$) = $3\sqrt3$

= > a^3 + 1/a^3 = 0

Required value is 0

Formula used -

Formula used - ( x + y )³ = x³ + y³ + 3xy( x + y )