Question

If a+1/a=2, find a^5+1/a^5​

Answer 1

The correct answer is 32.

a+1/a=2,

Then power 5 on Both side

a^5+1/a^5 = 2^5

2^5 = 32

Answer 2

Answer:

123

Step-by-step explanation:

squaring both side ,we have

a^2+1/a^2=7-------------(1)

again cubing both side of original equation,we have

a^3+1/a^3=18------------(2)

multiplying equation 1 and 2,we have

a^5+1/a^5+(a+1/a)=126

thus result will be 123