Question

Solve the equation z³ = 64.
1) z = 4
2) z = ±4
3) z = 8
4) z = -8

Answer 1

To solve the equation z³ = 64, the cube root of 64 is calculated as 4, thus the solution is z = 4.

Step-by-step explanation:

To solve the equation z³ = 64, we are looking for a number that when multiplied by itself three times equals 64. The cube root of 64 is 4, because 4 × 4 × 4 = 64. Thus, the solution to the equation is z = 4. It's important to note that in this case, we are only considering real number solutions. While there are complex number solutions to a cubic equation, the context here suggests looking for the real number solution only.