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(4x+5)2=9

less than a minute read Jun 16, 2024
(4x+5)2=9

Solving the Equation (4x + 5)² = 9

This equation involves a squared term, which requires us to use specific steps to solve for x. Here's a breakdown of the process:

1. Isolate the Squared Term

  • Take the square root of both sides: √(4x + 5)² = ±√9

  • Simplify: 4x + 5 = ±3

2. Solve for x

  • Case 1: 4x + 5 = 3

    • Subtract 5 from both sides: 4x = -2
    • Divide both sides by 4: x = -1/2

  • Case 2: 4x + 5 = -3

    • Subtract 5 from both sides: 4x = -8
    • Divide both sides by 4: x = -2

Solution

Therefore, the solutions to the equation (4x + 5)² = 9 are x = -1/2 and x = -2.

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