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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
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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
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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,
\(\Large x^2=-28 \implies x= \sqrt{-28}=\sqrt{-1}\sqrt{28} \\ \Large x=2i\sqrt7\)
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OpenStudy (anonymous):
oh i don't know how i could have missed that. thanks so much,appreciate it!