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Mathematics 15 Online
OpenStudy (anonymous):

Help Please?????

OpenStudy (anonymous):

\[x^{2}=-28\]

hartnn (hartnn):

have you learnt imaginary numbers?

OpenStudy (anonymous):

i was not present for notes the day this work was assigned.

hartnn (hartnn):

ever seen this ? \(\Large i=\sqrt{-1} \)

OpenStudy (anonymous):

yes

hartnn (hartnn):

good, s take square root on both sides of x^2=-28 what do u get ?

OpenStudy (anonymous):

would i not square root x^2 = +-\[\sqrt{-28}\]

hartnn (hartnn):

\(\Large x^2=-28 \implies x= \sqrt{-28}=\sqrt{-1}\sqrt{28}\) got that ?

OpenStudy (anonymous):

could i not \[x=\sqrt{-28 } \rightarrow = \sqrt{-4x7} = 2\sqrt{7}\] ??

OpenStudy (anonymous):

@hartnn

hartnn (hartnn):

oh and where did the negative sign go ?

OpenStudy (anonymous):

im confused i hypothesized that. or would it be \[-2\sqrt{7}\] ??

OpenStudy (anonymous):

@hartnn

hartnn (hartnn):

but did u not get what i did here ?? \(\Large x^2=-28 \implies x= \sqrt{-28}=\sqrt{-1}\sqrt{28}\) here we see the sqrt -1 which is actually = i as i said before

hartnn (hartnn):

so, \(\Large x^2=-28 \implies x= \sqrt{-28}=\sqrt{-1}\sqrt{28} \\ \Large x=2i\sqrt7\)

OpenStudy (anonymous):

oh i don't know how i could have missed that. thanks so much,appreciate it!

hartnn (hartnn):

welcome ^_^

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