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Mathematics 10 Online
OpenStudy (anonymous):

can someone help???

OpenStudy (anonymous):

\[Simplify the radical x = \frac{ -3 \pm \sqrt{45} }{ 6 }\]

jimthompson5910 (jim_thompson5910):

how can you simplify \[\Large \sqrt{45}\]

OpenStudy (anonymous):

\[3\sqrt{5}\]

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

\[\Large x = \frac{ -3 \pm \sqrt{45} }{ 6 }\] \[\Large x = \frac{ -3 \pm 3\sqrt{5} }{ 6 }\] \[\Large x = \frac{ 3(-1 \pm \sqrt{5}) }{ 6 }\] \[\Large x = \frac{ -1 \pm \sqrt{5} }{ 2 }\]

OpenStudy (anonymous):

thank you!

jimthompson5910 (jim_thompson5910):

sure thing

OpenStudy (anonymous):

@jim_thompson5910 Idk where I went wrong with this one. \[x = \frac{ 2 \pm \sqrt{84} }{ 8 } = \frac{ 2 \pm 2\sqrt{21} }{ 8 }\] How would you simplify it from here? I got \[x = \frac{ 2 \pm \sqrt{21} }{ 4 }\]

jimthompson5910 (jim_thompson5910):

\[\Large x = \frac{ 2 \pm \sqrt{84} }{ 8 }\] \[\Large x = \frac{ 2 \pm 2\sqrt{21} }{ 8 }\] \[\Large x = \frac{ 2(1 \pm \sqrt{21}) }{ 8 }\] \[\Large x = \frac{ 1 \pm \sqrt{21} }{ 4 }\]

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