Question

How do you solve `sqrt(x+6) = 3 + sqrtx`?

Answer 1

See the explanation.

Explanation:

If `sqrt(x+6) = 3 + sqrtx`, then

`(sqrt(x+6))^2 = (3 + sqrtx)^2` (but not necessarily vie-versa)

So, `x+6 = 9 + 6sqrtx+x`

Which would require
`-3 = 6sqrtx`

But this is not possible, because `sqrtx` is never negative.

So, the equation has no solutions..