# How do you solve #sqrt(2x - 8) = 4 -x#?

##### 1 Answer

#### Answer:

#### Explanation:

Start with a condition for existing of a square root on the left side of an equation:

AND

a condition for the right side of an equation to be non-negative since on the left we have an arithmetic (that is, non-negative) value of a square root:

At this point we can see that these two intervals,

This is a legitimate way to conclude this description in this particular case.

However, we might not notice that

Square both sides of the equation:

Then

To no surprise, we have received a solution

The second solution,

CHECK of the found solution has already been performed above, no need to repeat it here, but, in general, must always be performed.