%5E3%3D0.jpeg "(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
-
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 -
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.