Question

In the equation above, which of the following is a possible value of x + 1?

Please show and explain the process!

Answer 1

`x=-1+√(2),-1-√(2)`

Explanation:

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

Multiply both sides by the denominator (x+1).

`(x+1)(x+1)=2`

`(x+1)^(2)=2`

`\sqrt{(x+1)^(2) } =√(2)`

`x+1=√(2)`

`x=-1+√(2)\\x=-1-√(2)`

I also put my answer through a math solving site and it says it is correct, so I'm not sure why the same answer isn't in your options. Hope this helps, anyway lol!