The options are
x = –72
x = –66
x = 58
no solution
Answer:
x = 16
Explanation:
From the options above, you are asked to look for the value of x. The equation is 3 sqrt x + 8 = - 4. The equation can be represented as follows:
3√x + 8 = -4
The equation can be reduced by bringing the like terms together for easy simplification.
8 will be transferred to the right side to make the value -8
3√x = -4 - 8
3√x = -12
divide both sides by 3
√x = -12/3
√x = -4
square both sides
(√x)² = -4²
x = 16
The square root of 16 is either -4 or +4. The best value for the square root of 16 to fit into the equation is -4.
For example inserting the value into the equation will be
3√x + 8 = -4
3√16 + 8
3 × -4 + 8
-12 + 8 = -4