How do you solve -5sqrt(8x-4) +3 = 18?
1 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
