a+3+(1/a) = 0 হলে, a³+(1/a³) = কত?

a+3+(1/a) = 0 হলে, a³+(1/a³) = কত?

A 18

B 20

C -18

D -20

Solution

Correct Answer: Option C

a+3+1/a = 0

⇒ a + 1/a = -3

এখন, a³ + 1/a³ = (a+1/a)³ - 3.a.1/a (a+1/a)

= (-3)³ -3 (-3)

= -27 + 9

= -18