(x%2B5)%3D49-answer.jpeg "(x+5)(x+5)=49 Answer")
Solving the Equation (x+5)(x+5) = 49
This equation involves a squared term, making it a quadratic equation. Here's how to solve it:
1. Expand the equation:
(x+5)(x+5) = 49 becomes: x² + 10x + 25 = 49
2. Move the constant term to the left side:
x² + 10x + 25 - 49 = 0 x² + 10x - 24 = 0
3. Factor the quadratic equation:
The equation can be factored as: (x + 12)(x - 2) = 0
4. Solve for x:
For the product of two factors to be zero, at least one of them must be zero. Therefore:
- x + 12 = 0 or x - 2 = 0
- x = -12 or x = 2
Solution:
Therefore, the solutions to the equation (x+5)(x+5) = 49 are x = -12 and x = 2.