What is the solution of 3sqrt(x+8=-4

Solve for x:
3 sqrt(x + 8) = -4

Divide both sides by 3:
sqrt(x + 8) = -4/3

Raise both sides to the power of two:
x + 8 = 16/9

Subtract 8 from both sides:
x = -56/9

3 sqrt(x + 8) ⇒ 3 sqrt(8 - 56/9) = 4:
So this solution is incorrect

The solution is incorrect:
  (no solutions)

Hello there!



So this is the equation we have, and I'm guessing we have to solve for the value of x.

Let's divide both sides by 3.



Square both sides to get rid of the square root.




Subtract both sides by 8.




Let’s test if this is an extraneous solution by plugging this value into the equation.




This does not produce the desired result, which was supposed to be -4. Thus, x=-56/9 is an extraneous solution, so there are no solutions to this equation.

I hope this helps and have an awesome day! :)
~AgentCozmo4, Moderator