Solve the following equation. You must show all your work and list the correct properties for each step to receive full credit.

Question

(here are the possible properties to pick from: addition property of equality, subtraction property of equality, multiplication property of equality, division property of equality)



x3 − 4 =6

Answer 1

Starting with x^3 - 4 = 6:

1. Add 4 to both sides using the addition property of equality: x^3 - 4 + 4 = 6 + 4
2. Simplify by combining like terms: x^3 = 10
3. Divide both sides by 3 using the multiplication property of equality: x = ∛(10)

Therefore, the solution of the equation x^3 - 4 = 6 is x = ∛(10).

Properties used:
- Addition property of equality (to add 4 to both sides)
- Multiplication property of equality (to divide both sides by 3)