Question

Answer with steps by step please ​

Answer 1

a is 1

Explanation:

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

Multiply both sides by a:

`a^2+1=2a`

Move everything to one side:

`a^2-2a+1=0`

Factor:

`(a-1)^2=0`

By the zero product rule, a is 1.

Therefore, the expression is true, because:

`(1)^2+(1)/(a^2)=a^4+(1)/(a^4)=1+1=2`

Hope this helps!