## Solving the Equation: (x + 1)^2 = 49/16

This equation presents a straightforward way to solve for the value of 'x'. Here's a step-by-step breakdown:

### 1. Isolate the Squared Term

To begin, we need to isolate the term (x + 1)^2.

Since the equation is already in this form, we can move directly to the next step.

### 2. Take the Square Root of Both Sides

Taking the square root of both sides of the equation eliminates the square on the left side:

√((x + 1)^2) = ±√(49/16)

This gives us:

x + 1 = ±7/4

### 3. Solve for x

Now, we need to solve for 'x' by isolating it on one side of the equation.

Subtract 1 from both sides:

x = -1 ± 7/4

This gives us two possible solutions:

**x = -1 + 7/4 = 3/4****x = -1 - 7/4 = -11/4**

### Conclusion

Therefore, the solutions to the equation (x + 1)^2 = 49/16 are **x = 3/4** and **x = -11/4**.