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jrosesweet

  • 3 years ago

One solution of the equation 6x^2-19x+3=0 is 1/6 What is the other solution?

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  1. RyanL.
    • 3 years ago
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    You can try doing the quadratic formula.

  2. lgbasallote
    • 3 years ago
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    if 1/6 is a solution that means x = 1/6 is a root that means 6x - 1 is a factor so just divide 6x^2 - 19x + 3 by 6x - 1

  3. jrosesweet
    • 3 years ago
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    How do I do that?

  4. lgbasallote
    • 3 years ago
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    long division? synthetic division? isnt that your lesosn?

  5. sami-21
    • 3 years ago
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    sum of the roots of Quadratic equation ax^2+bx+c=0 is -b/a so in our case a=6 b=-19 so the sum of roots should be ,let unknown root is r 1/6+r=-(-19)/6 \[\Large r+\frac{1}{6}=\frac{19}{6}\] OR \[\Large r=\frac{19}{6}-\frac{1}{6}\] simplify it and you got your answer !!

  6. lgbasallote
    • 3 years ago
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    lol

  7. sami-21
    • 3 years ago
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    yeah !!!!

  8. lgbasallote
    • 3 years ago
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    wonder why wolfram disagrees though

  9. sami-21
    • 3 years ago
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    let me check my Algebra then .

  10. lgbasallote
    • 3 years ago
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    lol jk

  11. Calcmathlete
    • 3 years ago
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    It is \[Sum = -\frac ba = \frac{19}{6}\]

  12. Calcmathlete
    • 3 years ago
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    So, you suntract 1/6 to get 18/6 which simplifies...

  13. sami-21
    • 3 years ago
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    lol i was right !!!!!!!

  14. Calcmathlete
    • 3 years ago
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    Yup XD Just always remember the sign rule for these types of things ;)

  15. sami-21
    • 3 years ago
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    @lgbasallote wolfram agrees with me :P

  16. lgbasallote
    • 3 years ago
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    didnt you see the lol jk? lol

  17. sami-21
    • 3 years ago
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    oops!!! now i saw lol jk :P

  18. jrosesweet
    • 3 years ago
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    Sorry guys my computer froze!!

  19. jrosesweet
    • 3 years ago
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    So the other solution is 18/6 ?!?

  20. sami-21
    • 3 years ago
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    yes 18/6=3

  21. jrosesweet
    • 3 years ago
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    Well spankyou. Spankyou all very much.

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