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Solmyr

  • 3 years ago

What are the solutions of x2 + 5x − 24 = 0? Show all work for full credit.

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  1. muhammad9t5
    • 3 years ago
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    do it by factorizing...

  2. hartnn
    • 3 years ago
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    hint : split the middle term as 8x-3x

  3. muhammad9t5
    • 3 years ago
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    break 5x in two terms.

  4. muhammad9t5
    • 3 years ago
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    8x-3x

  5. Solmyr
    • 3 years ago
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    would it be −b±/b^2 - 4ac ------------- 2a

  6. hartnn
    • 3 years ago
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    thats using Quadratic formula...are u asked to use that ? if not factorizing will be better approach

  7. Solmyr
    • 3 years ago
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    ya its asking for quadratic formula

  8. hartnn
    • 3 years ago
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    Compare your quadratic equation with \(ax^2+bx+c=0\) find a,b,c then the two roots of x are: \(\huge{x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}}\)

  9. hartnn
    • 3 years ago
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    so, first tell me what u get for a,b,c.

  10. Solmyr
    • 3 years ago
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    a=x^2 b=5 c=24

  11. hartnn
    • 3 years ago
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    no, 'a' is the co-efficient of x^2 here u have 1x^2 so a=.... ?

  12. Solmyr
    • 3 years ago
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    1^2

  13. hartnn
    • 3 years ago
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    |dw:1356626845466:dw|

  14. Solmyr
    • 3 years ago
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    a=1 b=5 c=24

  15. hartnn
    • 3 years ago
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    are u sure about the value of 'c' ?

  16. Solmyr
    • 3 years ago
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    -24

  17. hartnn
    • 3 years ago
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    correct, now just plug in the values of a,b,c in that quadratic formula

  18. Solmyr
    • 3 years ago
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    −b±/b^2 - 4ac ------------- 2a -5 +/5^2 - 4 * 1 * 24 ------------------ 2 -5 +/ 25 - 96 ----------- 2

  19. Solmyr
    • 3 years ago
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    -5 -/5^2 - 4 * 1 * 24 ------------------ 2 -5 -/ 25 - 96 ----------- 2

  20. hartnn
    • 3 years ago
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    remember that c=-24 so \(b^2-4ac = 25-4(1)(-24) = 25+96=...?\)

  21. Solmyr
    • 3 years ago
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    i cant believe i keep messing that up

  22. hartnn
    • 3 years ago
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    everything else was correct.

  23. Solmyr
    • 3 years ago
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    121

  24. hartnn
    • 3 years ago
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    yes, and \(\sqrt{121}=..?\)

  25. Solmyr
    • 3 years ago
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    11 SR

  26. Solmyr
    • 3 years ago
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    -5 + 11= 6 -- = 3 2

  27. hartnn
    • 3 years ago
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    yes, and (-5-11)/2 =... ?

  28. hartnn
    • 3 years ago
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    ?

  29. Solmyr
    • 3 years ago
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    -8

  30. hartnn
    • 3 years ago
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    thats correct, so 2 roots are 3 and -8.

  31. Solmyr
    • 3 years ago
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    ok thank u for all ur help

  32. hartnn
    • 3 years ago
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    welcome ^_^

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