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

The options are

x = –72

x = –66

x = 58

no solution

x = 16

Step-by-step 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