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Mathematics 22 Online
OpenStudy (anonymous):

solving for q

OpenStudy (anonymous):

\[\sqrt{3q}+2=\sqrt{5}\]

hero (hero):

Are you trying to check your answer?

OpenStudy (anonymous):

\[q=\sqrt{5}-2\sqrt{3}/3 \]

OpenStudy (anonymous):

yes

mathslover (mathslover):

is it \(\large{\sqrt{3q}}\) or \(\large{\sqrt{3}*q}\) ?

hero (hero):

@mathslover, she already posted what it was.

mathslover (mathslover):

i want to confirm ..@helpme9283 so it is : \(\large{\sqrt{3q}}\)

hero (hero):

She's not even here anymore.

mathslover (mathslover):

.@helpme9283 ??

OpenStudy (anonymous):

ya it is

mathslover (mathslover):

ok so .. \[\large{\sqrt{3q}+2=\sqrt{5}}\] subtract both sides by 2 ..

mathslover (mathslover):

what r u getting then?

mathslover (mathslover):

like .. this : \[\LARGE{\sqrt{3q}+2-2=\sqrt{5}-2}\]

OpenStudy (anonymous):

i got \[\sqrt{5}-2\sqrt{3}/3\]

mathslover (mathslover):

sorry it is wrong since: \[\LARGE{\sqrt{3q}=\sqrt{5}-2}\] \[\large{3q=5+2-4\sqrt{5}}\] \[\large{3q=7-4\sqrt{5}}\]

OpenStudy (anonymous):

hmm.. \[\sqrt{15}-2\sqrt{3}/3 \space?\]

hero (hero):

@mathslover, that is not correct.

hero (hero):

This guy amazes me. First he rudely interrupts me and then posts his incorrect solution. Then he just logs off.

hero (hero):

\((\sqrt{3q})^2 = (\sqrt{5} - 2)^2\) \(3q = (\sqrt{5} - 2)(\sqrt{5}-2) \\ 3q = (\sqrt{5}(\sqrt{5}-2)-2(\sqrt{5}-2) \\ 3q = 5 - 2\sqrt{5} - 2\sqrt{5} + 4 \\ 3q = -4\sqrt{5} + 9 \\ q = \large\frac{-4\sqrt{5} + 9}{3} \\ q = \large 3 - \frac{ 4\sqrt{5}}{3}\)

mathslover (mathslover):

sorry .. i just put wrong 2 ^2 as 2 .. and @Hero you dont need to put extra comments .. if you are amazed .. then please show it to others .. and dont post such extra compliments about me |dw:1343715738653:dw|

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