Final answer:
To solve the equation 3sqrt(1/8-x) = -1/2, follow these steps: square both sides, simplify, and solve for x.
Step-by-step explanation:
To solve the equation 3sqrt(1/8-x) = -1/2, we can start by squaring both sides of the equation to eliminate the square root:
3sqrt(1/8-x) = -1/2
Squaring both sides:
(3sqrt(1/8-x))^2 = (-1/2)^2
9(1/8-x) = 1/4
Now, we can simplify and solve for x:
9/8 - 9x = 1/4
9/8 - 1/4 = 9x
3/8 = 9x
x = 3/72
x = 1/24