Question

Identify all of the following solutions of square root of x plus 14 end root plus 2 equals x

Answer 1

I assume the question was

`√(x + 14) + 2 = x`
We can move the 2 over to the other side, and then square it so that:

`x + 14 = (x - 2) ^(2)`
Simplifying, we get:

`x + 14 = {x}^(2) - 4x + 4`
So

`{x}^(2) - 5x - 10 = 0`
However, this means that using the quadratic formula,

`x = (5 + √(65) )/(2)`
Or

`x = (5 - √(65) )/(2)`
Hope this helped in some way, I may have made a mistake somewhere, so you should probably double check.

Answer 2

Answer is: None of the above