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Find the range of \(\Huge \frac {3x^22x1}{x^2+x+2}\) if x is real.
 one year ago
 one year ago
Find the range of \(\Huge \frac {3x^22x1}{x^2+x+2}\) if x is real.
 one year ago
 one year ago

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Jemurray3Best ResponseYou've already chosen the best response.0
Is calculus available as a tool for this?
 one year ago

cwtanBest ResponseYou've already chosen the best response.0
I dun think it need calculus.....
 one year ago

Jemurray3Best ResponseYou've already chosen the best response.0
No, but it would be quite straightforward if you used it.
 one year ago

cwtanBest ResponseYou've already chosen the best response.0
but this is a 4 mark question and i need the steps to get the mark...... if use calculus i dun think i can get full mark for this question.... (at least 1 mark 1 step)
 one year ago

Jemurray3Best ResponseYou've already chosen the best response.0
okay, well that sounds like there's a particular way you're supposed to do it. What class is it?
 one year ago

Jemurray3Best ResponseYou've already chosen the best response.0
I'm not sure what you mean by that. Is it an algebra class or something? And does it ask you to complete a series of 4 steps?
 one year ago

cwtanBest ResponseYou've already chosen the best response.0
somtething like: http://www.stpmwiki.com/index.php/Polynomials_Part2
 one year ago

cwtanBest ResponseYou've already chosen the best response.0
and http://www.stpmwiki.com/index.php/Polynomials_Part1
 one year ago

Jemurray3Best ResponseYou've already chosen the best response.0
whoa whoa whoa. Are you looking for a range or a remainder?
 one year ago

cwtanBest ResponseYou've already chosen the best response.0
i duno which part can be use to find the range :( but i know the syllabus is just in that 2 webpage
 one year ago

Jemurray3Best ResponseYou've already chosen the best response.0
I say again, just to clarify... you're looking for the range of the function? Which means all of the possible values it could take? Or you're looking for the remainder of the fraction once you've divided?
 one year ago

cwtanBest ResponseYou've already chosen the best response.0
find the range for the fraction possible
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
lets say, \(\frac {3x^22x1}{x^2+x+2} = k \) => \(3x^22x1 = k(x^2+x+2)\) \((3k)x^2 + (2k)x + (12k) = 0\)
 one year ago

cwtanBest ResponseYou've already chosen the best response.0
Thank you veryyyy much!!
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
since, x is real, \(b^2  4ac >= 0 \) => \((2+k)^2  4(k3)(1+2k) >= 0\) \((k4)(k+4/7) >= 0\)
 one year ago

Jemurray3Best ResponseYou've already chosen the best response.0
I like that! I've never done it that way before. @cwtan I'm somewhat surprised that this is a viable technique for you in this instance given what I read in your syllabus, but I suppose if it works it works.
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
yea this is fallback option when calculus is not allowed.... mukushla taught me this few few days back... :)
 one year ago
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