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