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

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Jemurray3
 2 years ago
Best ResponseYou've already chosen the best response.0Is calculus available as a tool for this?

cwtan
 2 years ago
Best ResponseYou've already chosen the best response.0I dun think it need calculus.....

Jemurray3
 2 years ago
Best ResponseYou've already chosen the best response.0No, but it would be quite straightforward if you used it.

cwtan
 2 years ago
Best ResponseYou've already chosen the best response.0but 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)

Jemurray3
 2 years ago
Best ResponseYou've already chosen the best response.0okay, well that sounds like there's a particular way you're supposed to do it. What class is it?

Jemurray3
 2 years ago
Best ResponseYou've already chosen the best response.0I'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?

cwtan
 2 years ago
Best ResponseYou've already chosen the best response.0somtething like: http://www.stpmwiki.com/index.php/Polynomials_Part2

Jemurray3
 2 years ago
Best ResponseYou've already chosen the best response.0whoa whoa whoa. Are you looking for a range or a remainder?

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

Jemurray3
 2 years ago
Best ResponseYou've already chosen the best response.0I 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?

cwtan
 2 years ago
Best ResponseYou've already chosen the best response.0find the range for the fraction possible

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2lets say, \(\frac {3x^22x1}{x^2+x+2} = k \) => \(3x^22x1 = k(x^2+x+2)\) \((3k)x^2 + (2k)x + (12k) = 0\)

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2since, x is real, \(b^2  4ac >= 0 \) => \((2+k)^2  4(k3)(1+2k) >= 0\) \((k4)(k+4/7) >= 0\)

Jemurray3
 2 years ago
Best ResponseYou've already chosen the best response.0I 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.

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.2yea this is fallback option when calculus is not allowed.... mukushla taught me this few few days back... :)
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