Question

It is given that a^2+2a+2/a+1/a^2=13. Find a+1/a if a is a positive number

Answer 1

Answer: 2 when a = 1

Explanation:

You can rewrite the original question as

`(a^4-11a^2+2)/(a^2)\\ \\Simplify\\\\((a^2-1)(a^2+2))/(a^2)`

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

Now plugging back into the original asked equation

`a+ (1)/(a) \\\\1+(1)/(1)`

The final answer is 2