solve the equation. check your solutions. (enter your answers as a comma - separated list.)\n$x^{3}+512 =…
solve the equation. check your solutions. (enter your answers as a comma - separated list.)\n$x^{3}+512 = 0$\n$x =$
Answer
Explanation:
Step1: Isolate (x^{3})
Subtract (512) from both sides of the equation (x^{3}+512 = 0). (x^{3}=- 512)
Step2: Solve for (x)
Take the cube - root of both sides. Since (-512=(-8)\times(-8)\times(-8)), we have (x=\sqrt[3]{-512}). (x=-8)
Answer:
(-8)