Question

How do you solve `sqrt(5+x) + sqrt(x) = 5`?

Answer 1

X = 4

Explanation:

`sqrt(5+x) + sqrt(x)` = 5
`sqrt(5+x) = 5 - sqrt(x)`

Squaring both sides:
`5+x = 25 - 10 sqrt(x) + x`
`5 = 25 - 10 sqrt(x)`
`1 = 5 - 2sqrt(x)`
`2 sqrt(x) = 4`
`sqrt(x) = 2`
`x = 4`