Solve for X: X³ - X⁰ = 26

Published on September 21, 2024

Algebra

This math problem shows how to solve the equation X³ - X⁰ = 26 step-by-step. The solution is X = 3.

Question

Answer

Let’s solve the equation step-by-step:
  1. Simplify X⁰: Any number raised to the power of 0 equals 1. So, X⁰ = 1.
  2. Rewrite the equation: The equation now becomes:
    X³ - 1 = 26
  3. Isolate X³: Add 1 to both sides of the equation:
    X³ = 27
  4. Solve for X: Find the cube root of both sides to isolate X:
    ∛X³ = ∛27
  5. The answer: The cube root of 27 is 3.
    Therefore, X = 3.