Question

If a+1/a = 5, find the value of a² +1/a²​

Answer 1

a - 1/a =5

take squaring both side

(a - 1/a )^2 = (5)^2

a^2 +1/a^2 -2.a.1/a =25

a^2+1/a^2 -2 =25

a^2+1/a^2 =27 (answer)

Answer 2

`a^2+(1)/(a^2)=23`

Explanation:

`a+(1)/(a)=5\\squaring\\a^2+((1)/(a))^2+2* a * (1)/(a)=5^2\\a^2+(1)/(a^2) +2=25\\a^2+(1)/(a^2)=25-2=23`