Find all values of x such that \sqrt{4x^2} + \sqrt{x^2} = 6 + 3x.
I thought I had this figured out in an earlier posting of this same question,
but a moderator, Alan, added an answer, as a correction of the mistake
that I had made in my answer. Here's a copy/paste of what Alan said:
Note there is a difference between x^2 = 4, for which x = ±2, and x = √4, for which x = +2 only.
√(4x^2) = 2∣x∣ and √(x^2) = ∣x∣
so we have: 3∣x∣ = 6 + 3x
.