Question

if a+1/a=5 , find the value of a³+1/a³.​

Answer 1

Answer: 110

Step-by-step explanation:

a+1/a = 5. Square both sides. So, $a^{2} + 1/a^{2}$ +2*a*1/a = 25.

It means $a^{2} + 1/a^{2}$ = 25-2 = 23. Now, ($a^{2} + 1/a^{2}$)($a+1/a$) = 23*5 = 115.

So, $a^{3} + 1/a^{3} + a + 1/a$ = 115. From here, $a^{3} + 1/a^{3}$ = 115-5 = 110.

Answer 2

1. hope this ans will help you