Facing a Challenge

Problem:


At first glance, this equation appeared to be very complex, and I was unsure of how to approach it. However, after reviewing the material and practicing more problems, I was able to overcome this challenge.

The first time I attempted this problem, I found it challenging because I did not have a clear understanding of how to solve radical equations. I was confused by the square roots on both sides of the equation and was unsure of how to isolate the variable. I felt overwhelmed and unsure of how to proceed.

The mistake that I made the first time I attempted this problem was that I did not correctly apply the rules of algebra to isolate the variable. Specifically, I was unsure of how to eliminate the square roots on both sides of the equation. I mistakenly squared both sides of the equation to get rid of the square roots, but I did not realize that this would be an extraneous solution. This led to an incorrect answer and caused me to become more confused and frustrated. But through reviewing the material and practicing more problems, I was able to gain a better understanding of the concept and solved the question. I now feel more confident in my ability to solve radical equations.