Solving for x in the Equation (x+15)² - 10 = 0
This equation involves a quadratic expression, and we can solve for x using the following steps:
1. Isolate the squared term:
- Add 10 to both sides of the equation: (x + 15)² = 10
2. Take the square root of both sides:
- Remember to consider both positive and negative roots: x + 15 = ±√10
3. Solve for x:
- Subtract 15 from both sides: x = -15 ±√10
Therefore, the solutions for x are:
- x = -15 + √10
- x = -15 - √10
These are the two possible values of x that satisfy the original equation.