Jasonbradley
Home

(x+7)2−49=0

less than a minute read Jun 17, 2024
(x+7)2−49=0

Solving the Equation (x + 7)² - 49 = 0

This equation is a quadratic equation in disguise. Here's how to solve it:

1. Simplifying the Equation

  • Expand the square: (x + 7)² = (x + 7)(x + 7) = x² + 14x + 49
  • Substitute: Now our equation becomes: x² + 14x + 49 - 49 = 0
  • Simplify: This simplifies to: x² + 14x = 0

2. Factoring

  • Factor out the common factor: x(x + 14) = 0

3. Solving for x

  • Set each factor to zero:
    • x = 0
    • x + 14 = 0
  • Solve for x in the second equation: x = -14

Solution

Therefore, the solutions to the equation (x + 7)² - 49 = 0 are x = 0 and x = -14.

Related Post

Featured Posts