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Mathematics 7 Online
OpenStudy (anonymous):

sqrt( 1 - (x^2) ) ... find all possible values of x?

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 <=, >=

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

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

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 :) :)

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