Answer:
No solution
Step-by-step explanation:
I'd suggest you try to solve this first: 3√(x + 8) = 4. First, square both sides; this results in 9(x + 8) = 16, or x + 72 = 16/9, or x = -632/9. We cannot let x = -632/9 in √(x + 8) because -632/9 is not in the domain of the square root function. No solution.
If we now write 3√(x + 8) = -4 (note the negative sign), similar efforts at solution result in 9(x + 8) = -4, or x + 8 = -4/9, or x = -8 - 4/9. If we now substitute this result for (x + 8) in 3√(x + 8) = -4 (above), we get 3√(-8 + 8 - 4/9), which has no solution; -4/9 is not in the domain of the square root function.
Answer: -72
Step-by-step explanation
sorry if it’s confusing, but i hope i helped.
take the 3 & make it 1/3 on both sides
x + 8 = 1/3 sqrt -4
invert 1/3 making that become 3
x+8 = (-4)^3
because the power of 3 is odd, the result will be negative , x+8 = -4^ 3
next simplify 4^3 = 64
now subtract 8 from both sides
x= -64-8
KCC
keep -64 change subtraction to addition & change positive 8 to negative 8 .
x= -72
