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Calcmathlete

  • 3 years ago

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?

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  1. Calcmathlete
    • 3 years ago
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    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...

  2. NotTim
    • 3 years ago
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    its also...vector like...

  3. NotTim
    • 3 years ago
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    Almost...

  4. NotTim
    • 3 years ago
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    I meant

  5. Calcmathlete
    • 3 years ago
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    Seriously? That's like 5 questions that pertain to vectors when I have not learned them... :/

  6. swissgirl
    • 3 years ago
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    well for starter the biggest lead is xyz=-15 that shows me that there has to be a 1,3 and 5 involved

  7. swissgirl
    • 3 years ago
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    next x+y+z=-1 -5+3+1=-1

  8. Calcmathlete
    • 3 years ago
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    But when you plug it into xy + xz + yx, it doesn't work...

  9. Hero
    • 3 years ago
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    I think that also fails the x < y < z

  10. Hero
    • 3 years ago
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    since in your case y > z

  11. swissgirl
    • 3 years ago
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    well no u wld just switch around the variables that is no big deal

  12. Hero
    • 3 years ago
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    Maybe let x = -5, y = 1, z = 3

  13. KingGeorge
    • 3 years ago
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    Did you mistype the problem? Or is it correct as written? Should it be "xy + xz + yz = -17" instead of "xy + xz + yx = -17?"

  14. Calcmathlete
    • 3 years ago
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    That's what it says on the document...thinking it's a typo though...

  15. Calcmathlete
    • 3 years ago
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    Alright. I think it is just a typo. Thanks swiss!

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