Mathematics
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OpenStudy (anonymous):
sqrt( 1 - (x^2) ) ...
find all possible values of x?
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OpenStudy (anonymous):
\[\sqrt{1 - x^{2}}\]
OpenStudy (jlastino):
If you don't include complex numbers x can only be 0, 1 and -1 i think....?
OpenStudy (anonymous):
no only real numbers
OpenStudy (anonymous):
sqrt is not defind for negative numbers (at least in R)
so 1-x2>0
x2<1
|x|<1
OpenStudy (anonymous):
where i put < or > should be <=, >=
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OpenStudy (anonymous):
we have to find all possible values for x for which the sqrt is possible
OpenStudy (anonymous):
|x|<1
OpenStudy (anonymous):
-1<x<1
OpenStudy (anonymous):
find all possible values for x for which the sqrt is defined
OpenStudy (anonymous):
-1<x<1
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OpenStudy (anonymous):
how did u find it ? can u explain
OpenStudy (anonymous):
sqrt is not defind for negative numbers (at least in R)
so 1-x2>0
x2<1
|x|<1
OpenStudy (anonymous):
till x2 < 1, i understood but after that i didn't
OpenStudy (anonymous):
take sqrt bouth sides, and what you get?
sqrtx2=+-1
OpenStudy (anonymous):
ohhhh.. after that plz
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OpenStudy (anonymous):
sqrtx2 =|x|
OpenStudy (anonymous):
ohhhhh.... now i got all .. thanks alot myko :) :)
OpenStudy (anonymous):
is someoqne reading my question
OpenStudy (anonymous):
it should be \[|x| \le 1\]
OpenStudy (anonymous):
eigenschmeigen.. you are right :) :) thanks :) :)