%5E2%3D49%2F16.jpeg "(x+1)^2=49/16")
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.