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

The answer is A. - 72

The options are

x = - 72

x = - 66

x = 58

no solution

Answer:

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