Final answer:
The positive solution for the equation x³/2 = 8 is x = 2, which is achieved by multiplying both sides by 2 and taking the cube root.
Step-by-step explanation:
The student is asking how to solve the equation x³/2 = 8. To find the positive solution for x, we first multiply both sides of the equation by 2 to get rid of the fraction. This gives us x³ = 16. To solve for x, we take the cube root of both sides. So, x = √[3]{16}, which simplifies to x = 2.5198421, but since we want the positive solution rounded to a whole number, we can say x = 2.