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Theloshua

  • one year ago

(x + 2)(3x) = (x + 2)(6)

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  1. Vocaloid
    • one year ago
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    distribute on both sides

  2. Theloshua
    • one year ago
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    3x^2 + 6x = 6x + 12

  3. Vocaloid
    • one year ago
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    good, now subtract 6x from each side

  4. Theloshua
    • one year ago
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    3x^2 = 12

  5. Vocaloid
    • one year ago
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    good, now divide both sides by 3

  6. Theloshua
    • one year ago
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    x = 2

  7. Theloshua
    • one year ago
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    right?

  8. Vocaloid
    • one year ago
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    almost, don't forget x = -2 as well x = 2 and x = -2

  9. Theloshua
    • one year ago
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    wait, how?

  10. Vocaloid
    • one year ago
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    when we solve x^2 = A, we must take into account the positive and negative square roots

  11. Theloshua
    • one year ago
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    but if its squared doesnt it turn positive?

  12. Vocaloid
    • one year ago
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    right, that's precisely why we need to take both positive and negative roots

  13. Theloshua
    • one year ago
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    can you type it out so i can see?

  14. Vocaloid
    • one year ago
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    allow me to explain

  15. Vocaloid
    • one year ago
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    we got down to x^2 = 4, right?

  16. Theloshua
    • one year ago
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    right

  17. Vocaloid
    • one year ago
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    you found x = 2, which works when we substitute back into the equation x^2 = 4 2^2 = 4

  18. Vocaloid
    • one year ago
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    notice what happens when we let x = -2 instead x^2 = 4 (-2)^2 = 4 4 = 4 therefore, x = -2 is also a solution.

  19. Theloshua
    • one year ago
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    ohhhhh..... but is that how I figure it out in every situation, or is there a way so it becomes part of the routine of solving the problem?

  20. Vocaloid
    • one year ago
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    in general: |dw:1443665411909:dw| this is a tricky concept

  21. Theloshua
    • one year ago
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    XD okay, okay, I get you *sticks out tongue at you*

  22. Theloshua
    • one year ago
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    Thaaaaanks!!!! :)

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