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some.random.cool.kid

  • one year ago

The complex solution to a quadratic equation is x equals start fraction negative 10 plus or minus square root of negative 700 end square root over two end fraction full stop Write this solution in standard form, x = a ± bi, where a and b are real numbers. Justify your answer by showing your work.

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  1. some.random.cool.kid
    • one year ago
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    need help bad

  2. some.random.cool.kid
    • one year ago
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    sqrt of the -700 is 26.4 and now im stuck

  3. some.random.cool.kid
    • one year ago
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  4. some.random.cool.kid
    • one year ago
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    thats the image I just attached the file instead because the writing was to messy.

  5. Nnesha
    • one year ago
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    don't use calculator forsqrt{-700} there is a negative sign so you should get imaginary solution so factor out the -700 what is the largest factor of 700 that should be the perfect square root

  6. some.random.cool.kid
    • one year ago
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    350?

  7. some.random.cool.kid
    • one year ago
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    idk a perfect sqrt for 700 close ive got is 26.4 and thats a decimal

  8. Nnesha
    • one year ago
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    hmm 350 isn't a perfect square root what two numbers would you multiply to get 700 ??

  9. Nnesha
    • one year ago
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    here are some example of perfect square root sqrt{16}= 4 sqrt{25}=5

  10. some.random.cool.kid
    • one year ago
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    350and 2?

  11. some.random.cool.kid
    • one year ago
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    that can get you 700?

  12. anonymous
    • one year ago
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    identical question answered here http://openstudy.com/study#/updates/55ff6651e4b0b395cadc64aa

  13. Nnesha
    • one year ago
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    like i said \[\sqrt{350} = 18.7\] you will get decimal answer so 350 isn't a perfect square what are the factors of 700 ?

  14. some.random.cool.kid
    • one year ago
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    please walk me through this too i dont want a straight answer

  15. some.random.cool.kid
    • one year ago
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    what factors do you mean? like single digit numbers?

  16. Nnesha
    • one year ago
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    yes like factors of 9 are 1 and 3 ,9 in other words 9 is divisible by 1 and 3 and 9

  17. some.random.cool.kid
    • one year ago
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    wait here are what i know

  18. some.random.cool.kid
    • one year ago
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    1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70? do any those work?

  19. some.random.cool.kid
    • one year ago
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    if not im not sure what other factors their are for 700

  20. Nnesha
    • one year ago
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    what about 100 ? we need GREATEST factor

  21. some.random.cool.kid
    • one year ago
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    oh

  22. Nnesha
    • one year ago
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    7 times 100 = 700 and 100 is perfect square root ?

  23. some.random.cool.kid
    • one year ago
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    yeperz 10 x 10

  24. some.random.cool.kid
    • one year ago
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    so what do I do with this -700 then now that we figured out the two multiples?

  25. Nnesha
    • one year ago
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    yes right so we can writeh -700 as -1*7*100 100 bec we need greatest factor and sqrt{-1} bec we can change that to i \[\huge\rm \sqrt{-1} =i\]

  26. Nnesha
    • one year ago
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    \[\huge\rm \frac{ -10 \pm \sqrt{-1 \times 100 \times 7} }{ 2 }\] sqrt{100} = 10 and replace sqrt{-1} with i

  27. some.random.cool.kid
    • one year ago
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    ah ha ok ok quick questions Im not sure if what I learned is the best method for a short cut but can I divide both the -10 and that sqrt by 2? and then I believe there is some final step afterwards.

  28. Nnesha
    • one year ago
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    first deal with the square root part then you can take out the common factor at the numerator after that you will be able to divide by 2

  29. some.random.cool.kid
    • one year ago
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    alright so whats next then?

  30. Nnesha
    • one year ago
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    alright so sqrt{-700}= what ??(not the decimal answer)

  31. some.random.cool.kid
    • one year ago
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    xD thats funny because I was about to put the decimal again thanks for clarifying lol. So based off of what I see you've got the 7 and 100 as your two multiples correct?

  32. Nnesha
    • one year ago
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    \[\huge\rm \frac{ -10 \pm \sqrt{\color{Red}{-1 \times 100 \times 7}} }{ 2 }\] that's what we got whenever you see negative sign under the square root you should know that u have to take out the negative -1 so we can convert it to i

  33. Nnesha
    • one year ago
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    \[\huge\rm \frac{ -10 \pm \sqrt{\color{Red}{-1 \times 100 \times 7}} }{ 2 }\] can be written as \[\frac{ -10 \pm \sqrt{-1}\sqrt{100}\sqrt{7} }{ 2}\]

  34. some.random.cool.kid
    • one year ago
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    yep i have seen that before.

  35. Nnesha
    • one year ago
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    now simplify sqrt{100} =? sqrt{-1}=?

  36. some.random.cool.kid
    • one year ago
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    sqrt of 100 10x10?

  37. Nnesha
    • one year ago
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    you can write 100 as 10 times 10 (and when we multiply same bases we should `ADD` their exponents ) so 10 times 10 = 10^2 sqrt{10^2} =?

  38. some.random.cool.kid
    • one year ago
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    wait isn't the sqrt of 10^2 the same as saying just 10?

  39. Nnesha
    • one year ago
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    yes right !

  40. Nnesha
    • one year ago
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    and sqrt{-1} =what ?

  41. some.random.cool.kid
    • one year ago
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    {-1} {-1}?

  42. some.random.cool.kid
    • one year ago
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    you write it twice right ?

  43. Nnesha
    • one year ago
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    hmm reread my comments

  44. some.random.cool.kid
    • one year ago
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    your adding what the sqrt{-1}?

  45. some.random.cool.kid
    • one year ago
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    sqrt -1 all i see that is would be { I }

  46. Nnesha
    • one year ago
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    i'm asking sqrt{-1} equal to what scroll up you will see huge latex!

  47. Nnesha
    • one year ago
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    I as 1 or i lol ?

  48. some.random.cool.kid
    • one year ago
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    i

  49. some.random.cool.kid
    • one year ago
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    in latex I see -1 x 100 x 7?

  50. Nnesha
    • one year ago
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    \[\frac{ -10 \pm 10i \sqrt{7} }{ 2 }\] now you can take out the common factor at the numerator

  51. Nnesha
    • one year ago
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    http://prntscr.com/8iohs8

  52. some.random.cool.kid
    • one year ago
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    yeah i said it was i

  53. Nnesha
    • one year ago
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    remember |dw:1442804236685:dw|what is common in both terms ?

  54. some.random.cool.kid
    • one year ago
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    sorry uh is that 10i?

  55. Nnesha
    • one year ago
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    |dw:1442804384787:dw| there is no `eye`(i) in first term

  56. some.random.cool.kid
    • one year ago
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    the only common I see is the 7 and -10 because they are like terms where as the 10i is not same

  57. some.random.cool.kid
    • one year ago
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    no in second term you drew in extra line so I couldnt tell I was asking if that was an i

  58. Nnesha
    • one year ago
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    let me explain |dw:1442804430474:dw| there are two box red and blue what is the common number in both terms ?

  59. some.random.cool.kid
    • one year ago
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    well there is two 10's?

  60. Nnesha
    • one year ago
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    yes right take it out

  61. some.random.cool.kid
    • one year ago
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    ok so ow your left with i x sqrt of 7?

  62. some.random.cool.kid
    • one year ago
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    now*

  63. Nnesha
    • one year ago
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    what will you get when you take out 10 from -10?

  64. Nnesha
    • one year ago
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    or in other words divide 10 by common factor so -10/10 = ?

  65. some.random.cool.kid
    • one year ago
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    or is it i = sqrt of 7 and doesn't that cancel out?

  66. some.random.cool.kid
    • one year ago
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    that should cancel out because one is negative and both same numbers

  67. Nnesha
    • one year ago
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    no 2/2 would be 1 so 10/10 ?

  68. some.random.cool.kid
    • one year ago
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    wait 1?

  69. Nnesha
    • one year ago
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    yes right \[\frac{ 10(-1 \pm i \sqrt{7} )}{ 2 }\]

  70. Nnesha
    • one year ago
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    NOW you can divide 10 by 2

  71. Nnesha
    • one year ago
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    got one mint :D

  72. some.random.cool.kid
    • one year ago
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    so thats 5 uh one minute? you mean or like candy mint

  73. Nnesha
    • one year ago
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    \[ 5(-1 \pm i \sqrt{7})\] now you can distribute by 5

  74. Nnesha
    • one year ago
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    no i have to go

  75. some.random.cool.kid
    • one year ago
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    because i needed help with one more but if you have to go i can respect that

  76. some.random.cool.kid
    • one year ago
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    ok bye

  77. Nnesha
    • one year ago
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    alright hope that hlped sorry but gtg

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