Okay, I am beyond confusion for this one. The first picture is the problem and how I solved it. The second picture it how it's showed to be solved.
Basically the only difference is that I turned sqrt(x-1) on the RHS and the solution turned sqrt(2x-3). Because of this I got a condition x=>5/2 (I outlined it and put a star next to it) and they got a condition x<=3 (i outlined that one too). We get the same answer, however, that difference bugs me. Is there a reason I must turn sqrt(2x-3) to the other side? Like maybe because it is the only negative one? Or is the solution wrong for not including other possibilities? How can we get different conditions with the same problem?
Thank you in advance.
Basically the only difference is that I turned sqrt(x-1) on the RHS and the solution turned sqrt(2x-3). Because of this I got a condition x=>5/2 (I outlined it and put a star next to it) and they got a condition x<=3 (i outlined that one too). We get the same answer, however, that difference bugs me. Is there a reason I must turn sqrt(2x-3) to the other side? Like maybe because it is the only negative one? Or is the solution wrong for not including other possibilities? How can we get different conditions with the same problem?
Thank you in advance.