Again, checking my work. Absolute Value question posted below and I got 24/7, but I got it wrong.

Question

anonymous · Answer

attachment

jim_thompson5910 · Answer

What solutions did you get

jim_thompson5910 · Answer

before you added them

anonymous · Answer

I got x = 8, 4/7, -4, -8/7

jim_thompson5910 · Answer

Did you check all 4 solutions to make sure they all work?

anonymous · Answer

Oh no. I guess that they don't all work.

jim_thompson5910 · Answer

It's not clear or guaranteed that they all work, so it's best to check them all.

anonymous · Answer

Yeah. That was the problem. -4 and 4/7 were extraneous solutions and therefore, 8 - 8/7 equals 48/7 and that was the answer. I guess I didn't check because I didn't know absolute value like radical functions could have extraneous solutions. Thanks!

jim_thompson5910 · Answer

you're welcome

jim_thompson5910 · Answer

Keep in mind that sqrt(x^2) = abs(x) for all real x, so this implies (a bit) of a connection between radicals and the absolute value function...so if a radical equation can have an extraneous solution, then the absolute value function may have an extraneous solution