(x-8)^3=0

2 min read Jun 17, 2024
(x-8)^3=0

Solving the Equation: (x - 8)³ = 0

This equation might look intimidating at first, but it's actually quite simple to solve. Let's break it down step by step:

Understanding the Equation

The equation (x - 8)³ = 0 represents a cube of an expression. This means that the expression (x - 8) is multiplied by itself three times.

Solving for x

  1. Take the cube root of both sides: To get rid of the cube, we take the cube root of both sides of the equation.
    √[(x - 8)³] = √[0] This simplifies to: x - 8 = 0

  2. Isolate x: To get x by itself, add 8 to both sides of the equation. x - 8 + 8 = 0 + 8 This simplifies to: x = 8

Solution

Therefore, the solution to the equation (x - 8)³ = 0 is x = 8.

Verification

We can verify our solution by plugging it back into the original equation:

(8 - 8)³ = 0 (0)³ = 0 0 = 0

Since the equation holds true, we have confirmed that x = 8 is indeed the correct solution.

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