Question

Answer with steps by step please ​

Answer 1

Answer:

a is 1

Step-by-step explanation:

$a+\dfrac{1}{a}=2$

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:

$(1)^2+\dfrac{1}{a^2}=a^4+\dfrac{1}{a^4}=1+1=2$

Hope this helps!