# How do you solve #-5sqrt(8x-4) +3 = 18#?

##### 1 Answer

#### Answer:

#### Explanation:

The idea when dealing with radical equations is to start by isolating the radical term on one side of the equation.

In your case, you can do that by adding

#-5sqrt(8x-4) + color(red)(cancel(color(black)(3))) - color(red)(cancel(color(black)(3))) = 18 - 3#

#(color(red)(cancel(color(black)(-5))) sqrt(8x-4))/(color(red)(cancel(color(black)((-5))))) = 15/((-5))#

#sqrt(8x - 4) = -3#

Notice that you have the square root returning a *negative value*. This cannot happen when dealing with **real numbers** because you can only take the square root of *positive numbers* and you will **always** get a *positive number* as a result.

This means that the original equation has **no real solutions**, or