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mathmath333
 one year ago
Find the range of \(x\).
mathmath333
 one year ago
Find the range of \(x\).

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mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0\(\large \color{black}{\begin{align} (x+3)^2(x5)>0\hspace{.33em}\\~\\ \end{align}}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@imqwerty could you explain how you got that?

idku
 one year ago
Best ResponseYou've already chosen the best response.2(x+3)^2 is always the component that is greater than 0. So x can't be equal to 3 (but we might not need this restriction yet). for this to be greater than zero x has to be greater than 5, because if x is not greater than 5, then you either get 0>0 or negative number>0

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.1(x+3)^2 is always > 0 until and unless x=3 but (x+3)^2 cannot = 0 so from here we get x belongs to (R{3}) now we see (x5). To satisfy the condition (x5) should be >0 and therefore x>5 now we have to take a common rage out of the two ranges  x belongs to(R{3}) and x>5 ..........so the common range that we get is x>5

idku
 one year ago
Best ResponseYou've already chosen the best response.2yes, we don't consider imaginaries.... these notations belong to R, and all that ... lol
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