Final answer:
An approximate solution to x = √129 is x ≈ 11.
Step-by-step explanation:
To approximate a solution to the equation x = √129, we can use trial and improvement.
We start by guessing a value for x and substitute it into the equation.
If the result is close to the square root of 129, we have found an approximate solution.
If not, we adjust our guess and repeat the process until we get a satisfactory approximation.
Let's start by guessing x = 10:
10 = √129 − Not close enough
Next, let's try x = 12:
12 = √129 − Not close enough
Finally, let's try x = 11:
11 = √129 − Close enough!
Therefore, an approximate solution to x = √129 is x ≈ 11.