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(3-x)^3=-27/64

less than a minute read Jun 16, 2024
(3-x)^3=-27/64

Solving the Equation: (3-x)³ = -27/64

This equation involves a cube root and a simple algebraic expression. We'll solve it step by step:

1. Finding the Cube Root

The first step is to find the cube root of both sides of the equation.

  • Left Side: The cube root of (3-x)³ is simply (3-x).
  • Right Side: The cube root of -27/64 is -3/4 (since (-3/4)³ = -27/64).

This gives us: (3-x) = -3/4

2. Isolating 'x'

To solve for 'x', we need to isolate it.

  • Subtract 3 from both sides: -x = -3/4 - 3
  • Simplify: -x = -15/4
  • Multiply both sides by -1: x = 15/4

Solution

Therefore, the solution to the equation (3-x)³ = -27/64 is x = 15/4.

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