Question

Select the correct answer. What is the solution to this equation? \( 4(\sqrt[3]{x-2})^1 = 9 \)?

a. 6
b. 8
c. 10
d. 0

Answer 1

To solve the equation 4(sqrt[3](x-2)) = 9, we need to isolate x. Start by cubing both sides of the equation to eliminate the cube root, then solve for x.

Step-by-step explanation:

To solve the equation 4(∛(x-2)) = 9, we need to isolate x. We can do this by first cubing both sides of the equation to eliminate the cube root:

∛(x-2)) = 9/4

Next, we can raise both sides of the equation to the power of 3 to remove the cube root:

x-2 = (9/4)^3

Then, we can solve for x:

x-2 = 729/64

x = 729/64 + 2

x = 729/64 + 128/64

x = 857/64