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Mathematics 17 Online
OpenStudy (kainui):

Help, medal + fan! Solve for x please

OpenStudy (kainui):

\[\Large \sqrt{x-2}=\frac{7}{4}-x\]

OpenStudy (chosenmatt):

need help? :)

TheSmartOne (thesmartone):

We got to square both sides first :P

OpenStudy (chosenmatt):

lol why did i even ask that question..... O.o

TheSmartOne (thesmartone):

So @kainui square both sides first, and then set it equal to 0. And you just solve the equation for x.

OpenStudy (chosenmatt):

okay i did the math (which was nothing) and im lost sorry i can't help i tried tho sorry loks like the great smartone is helping you lol

OpenStudy (astrophysics):

Noob, start off by squaring both sides \[x-2 = (7/4-x)^2\] eliminating the the squarer root, and then afterwards you can expand and move terms all to one side. \[x-2=\frac{ 49 }{ 16 }-\frac{ 7 x}{ 2 }+x^2 \implies x-2-\frac{ 49 }{ 16 }+\frac{ 7x }{ 2 }-x^2=0\] note you can simplify a bit more and then you can factor using the quadratic formula if you wish.

TheSmartOne (thesmartone):

\(\Large \sqrt{x-2}=\frac{7}{4}-x\) \(\Large \left(\sqrt{x-2}\right)^2=\left(\frac{7}{4}-x\right)^2\)

OpenStudy (kainui):

Show me the answer I'm still so stuck...

TheSmartOne (thesmartone):

@Kainui Heard of the CoC though (;

OpenStudy (chosenmatt):

@TheSmartOne no one really follows the CoC anymore....lol

TheSmartOne (thesmartone):

Next step \(\Large x-2=\left(\frac{7}{4}-x\right)^2\)

OpenStudy (chosenmatt):

not saying i don't im just saying i noticed that people doesnt really care about the CoC anymore

OpenStudy (michele_laino):

I think that the equation has no solutions, since the unique root is x=9/4, which is not acceptable

OpenStudy (michele_laino):

since the subsequent conditions have to be checked: \[\begin{gathered} 7 - 4x > 0 \hfill \\ x - 2 \geqslant 0 \hfill \\ \end{gathered} \]

TheSmartOne (thesmartone):

Next step :P \(\Large x-2= \frac{49}{16}-\frac{7}{2}x+x^2\)

OpenStudy (astrophysics):

Right, \[(x-9/4)(x-9/4)\] it has no solutions

TheSmartOne (thesmartone):

Set it equal to 0. And you get the picture.

OpenStudy (chosenmatt):

:O i knew it :( no fair lol (didnt really know) i lost my shot of helping a moderator this sux :(

OpenStudy (abb0t):

You lost your chance at proving yourself.

OpenStudy (astrophysics):

abb0t is the only mod

TheSmartOne (thesmartone):

lol

OpenStudy (astrophysics):

Notice, we gave steps, so this mod could finish the question but Michele gave the answers and got the gold.

OpenStudy (chosenmatt):

i told you no one cares about the CoC anymore lol

OpenStudy (astrophysics):

Reported

OpenStudy (chosenmatt):

u reported me? :(

OpenStudy (michele_laino):

I thought it was a challenge @Astrophysics

OpenStudy (michele_laino):

isn't it @Kainui

OpenStudy (michele_laino):

isn't it? @Kainui

TheSmartOne (thesmartone):

Hey, Michele is an amazing helper, she explains everything amazing and leaves the asker with no doubts.

OpenStudy (michele_laino):

thanks! @TheSmartOne

OpenStudy (chosenmatt):

yeah @Michele_Laino helps people with explations and @Astrophysics don't get mad about the medals that's not what matters the most tho

OpenStudy (kainui):

Haha it was all a giant test, now I have to ban you for answer giving @Michele_Laino ! Nah just kidding, it was a challenge and you were clever enough to figure it out. Fun! =P

OpenStudy (alyssa_xo):

She? I thought michele was italian for michael

OpenStudy (astrophysics):

I was kidding lol.

OpenStudy (michele_laino):

yes! @alyssa_xo

OpenStudy (alyssa_xo):

my autism impairs the ability to read humor

OpenStudy (michele_laino):

you are great! @Kainui

OpenStudy (astrophysics):

You are great to Michele :)

OpenStudy (michele_laino):

thanks! @Astrophysics

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