Join the QuestionCove community and study together with friends!
Sign Up
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):
\[\Large x = \frac{ -3 \pm \sqrt{45} }{ 6 }\]
\[\Large x = \frac{ -3 \pm 3\sqrt{5} }{ 6 }\]
\[\Large x = \frac{ 3(-1 \pm \sqrt{5}) }{ 6 }\]
\[\Large x = \frac{ -1 \pm \sqrt{5} }{ 2 }\]
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
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):
\[\Large x = \frac{ 2 \pm \sqrt{84} }{ 8 }\]
\[\Large x = \frac{ 2 \pm 2\sqrt{21} }{ 8 }\]
\[\Large x = \frac{ 2(1 \pm \sqrt{21}) }{ 8 }\]
\[\Large x = \frac{ 1 \pm \sqrt{21} }{ 4 }\]