%5E2%3D9.jpeg "(k+1)^2=9")
Solving for k: (k+1)^2 = 9
This equation presents a simple quadratic equation that we can solve for the value of 'k'. Here's a step-by-step breakdown:
1. Take the Square Root of Both Sides
The first step is to eliminate the square on the left side of the equation. We do this by taking the square root of both sides:
√[(k+1)^2] = ±√9
This gives us:
k + 1 = ±3
2. Isolate k
To isolate 'k', we subtract 1 from both sides of the equation:
k = ±3 - 1
3. Find the Solutions
This leads us to two possible solutions:
- k = 3 - 1 = 2
- k = -3 - 1 = -4
Therefore, the solutions for the equation (k+1)^2 = 9 are k = 2 and k = -4.