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Additional Math Help HERE ONLY...!

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divineobsidian:
can anyone still help me with this real root stuff?

Nov 08 P2 Q3
Find the set of values for m for which the line y=mx+2 does not meet the curve y=x^2-5x+18

thanks, all help appreciated

Padapop:

--- Quote from: divineobsidian on June 04, 2009, 03:47:27 pm ---can anyone still help me with this real root stuff?

Nov 08 P2 Q3
Find the set of values for m for which the line y=mx+2 does not meet the curve y=x^2-5x+18

thanks, all help appreciated

--- End quote ---

b^2 - 4ac < 0

All u need to know i think :D

archangel:

--- Quote from: divineobsidian on June 04, 2009, 03:47:27 pm ---can anyone still help me with this real root stuff?

Nov 08 P2 Q3
Find the set of values for m for which the line y=mx+2 does not meet the curve y=x^2-5x+18

thanks, all help appreciated

--- End quote ---

yess =)

so the eqn will be joined together, since y is the common subject
becomes x2-5x+18=mx+2
then bring everything over
x2-5x-mx+18-2=0
x2-x(5+m)+16=0
so here the components of the quad eqn is fulfilled =)
so ax2+bx+c=0
a=1 b=(5+m) c=16

since tangent never touches the curve,
we use b2-4(a)(c) < 0
so substitute....
(5+m)2-4(1)(16)<0
25+10m+m2-64<0
m2+10m-29<0

solve quadratically, im sure u'll get ure answer  :D

shan2391:

--- Quote from: archangel on June 04, 2009, 03:35:41 pm ---ahhhh thanks you guys!
so u mainly have to use permutations huh? okayyy

+ rep for all of u guys  :D

well that was what the answer at the back says =
maybe its the wrong answer printed... lol

--- End quote ---
as far as i know it when the Q. states select use combination otherwise permutation if arrangement is important

shan2391:
guys this Q is always hard for me to solve can any 1 giv it a shot. ???
Nov08 Q4ii

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