# How do you solve #10 - x =sqrt(3x + 24)#?

##### 1 Answer

#### Explanation:

Right from the start, you know that any solution you find for this equation must satisfy two conditions

#3x+24>=0 implies x>=-8# #10-x>=0 implies x <=10#

This means that you must for an

Since the radical is already isolated on one side of the equation, square both sides to get rid of the square root

Rearrange this equation into classic quadratic form

Use the *quadratic formula* to find the two solutions to this equation

Now, since **not a valid solution** solution.

As a result, the only solution to this equation is

Check to see if this is the case