anonymous
  • anonymous
Let the solution (x, y, z) satisfy the following equations: x + y + z = -1, xy + xz + yx = -17, xyz = -15. If x < y < z, what is the value of: x - 2y + 4z?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
And this is supposed to be a speed math question as in you should be able to do this in like 30 seconds...not sure how to do it though...
NotTim
  • NotTim
its also...vector like...
NotTim
  • NotTim
Almost...

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NotTim
  • NotTim
I meant
anonymous
  • anonymous
Seriously? That's like 5 questions that pertain to vectors when I have not learned them... :/
swissgirl
  • swissgirl
well for starter the biggest lead is xyz=-15 that shows me that there has to be a 1,3 and 5 involved
swissgirl
  • swissgirl
next x+y+z=-1 -5+3+1=-1
anonymous
  • anonymous
But when you plug it into xy + xz + yx, it doesn't work...
Hero
  • Hero
I think that also fails the x < y < z
Hero
  • Hero
since in your case y > z
swissgirl
  • swissgirl
well no u wld just switch around the variables that is no big deal
Hero
  • Hero
Maybe let x = -5, y = 1, z = 3
KingGeorge
  • KingGeorge
Did you mistype the problem? Or is it correct as written? Should it be "xy + xz + yz = -17" instead of "xy + xz + yx = -17?"
anonymous
  • anonymous
That's what it says on the document...thinking it's a typo though...
anonymous
  • anonymous
Alright. I think it is just a typo. Thanks swiss!

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