Question

How do you solve `3sqrtx + x = 10`?

Answer 1

`x=4`

Explanation:

'Transpose' `x` to the other side of the equation and square both sides.
Expand the binomial on the right side.
'Transpose `9x` to the right side of the equation.
Use the quadratic formula.

It should look like this:

`3sqrtx=10-x`

`9x=(10-x)^2`

`9x=100-20x+x^2`

`0=100-29x+x^2`

`x=-25`

and

`x=4`

However, we will not accept `x=-25` as an answer because it will yield an imaginary number in the original equation. The squaring step (step1b) created this extra root.