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Loujoelou

5.In the following equation, identify the x-intercepts in the graph y = 3x^2 + 19x – 40. I'm stuck on this problem can anyone help? :)

  • one year ago
  • one year ago

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  1. mathslover
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    You mean to say that we have to find x intercept?

    • one year ago
  2. waterineyes
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    Where are you having problem??

    • one year ago
  3. mathslover
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    Ok so just put y =0 : \[\large{0=3x^2+19x-40}\] \[\large{0=3x^2+24x-5x-40}\] \[\large{0=3x(x+8)-5(x+8)}\] \[\large{0=(3x-5)(x+8)}\]

    • one year ago
  4. waterineyes
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    For finding x intercept we put y = 0..

    • one year ago
  5. Loujoelou
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    Oh okay, sry I forgot about that and yeah had trouble factoring it and now I see. This means our x= -8 and 5/3

    • one year ago
  6. waterineyes
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    Yep..

    • one year ago
  7. mathslover
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    right

    • one year ago
  8. mathslover
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    3x-5=0 x+8=0 3x=5 x=-8 x=5/3

    • one year ago
  9. rymdenbarn
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    Right, I'd also like to add that in case you forget whether to make the y or the x zero when it comes to either intercept remember that any x-intercept would have to be (x, 0) and that any y-intercept would have to be (0, y). Cheers

    • one year ago
  10. Loujoelou
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    K thx a ton :)

    • one year ago
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