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Mathematics 24 Online
OpenStudy (anonymous):

I really need help solving this radical equation. Please help!

OpenStudy (theslytherinhelper):

Where's the equation?

OpenStudy (anonymous):

\[\sqrt{x+2} +4=x\]

OpenStudy (anonymous):

I need a step by step. I keep getting it wrong. I could show you my steps if needed.

OpenStudy (theslytherinhelper):

Yeah, if you can then please (: I need a little refresher. This is Algebra, right? Just checking that I'm qualified to answer, because I'm taking Algebra 2

OpenStudy (anonymous):

yeah, algebra 2. hold on just a second.

OpenStudy (anonymous):

OpenStudy (anonymous):

Wait, it would take me a long time to write those out...

OpenStudy (anonymous):

OpenStudy (theslytherinhelper):

Alright, so, the step-by-step summary confused you? Just asking for reference. I have no problem working it out with you.

OpenStudy (anonymous):

no, haha the problem confused me. It's just they didn't show any examples of this kind of problem in the lesson.

OpenStudy (theslytherinhelper):

So you get it now? :D

OpenStudy (anonymous):

no, I still need help..

OpenStudy (theslytherinhelper):

√6(12)+9 + 2 = 11 First, we have to isolate the radical onto one side. By its lonesome. Therefore, we must subtract the only number not in the radical (which is √6(12)+9 + 2) on both sides.

OpenStudy (anonymous):

wait, no, not that problem. The first one i wrote.

OpenStudy (theslytherinhelper):

√x+2 + 4= x Same thing here, subtract 4 from both sides and get √x+2 = x - 4

OpenStudy (theslytherinhelper):

Then, raise each side of the equation to the same power - this way, you'll cancel out the radical because those are a pain.

OpenStudy (anonymous):

i raised it to the second power, I got it so far

OpenStudy (theslytherinhelper):

So it's now x + 2 = x^2 + 16

OpenStudy (anonymous):

okay, I see it.

OpenStudy (anonymous):

so, the answer it x=14?

OpenStudy (theslytherinhelper):

Yep!

OpenStudy (anonymous):

yay! So, now i just have to check my answer..

OpenStudy (theslytherinhelper):

Yes, let's try it...

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