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dark_magician_92

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Posts posted by dark_magician_92

  1. #2

    a+b+c = 8, sum of roots tsken 1 at a time

    part (ii) = (a+b+c)^2 - 2*(ab+bc+ca)

    = 64 - 2*(sum of roots taken 2 at a time = -5)

    =74

    for (iii) a^3+ b^3 +c^3 -3abc= (a+b+c)(a^2+b^2+c^2 - ab -bc - ca)

    a^3+b^3+c^3 = 3(product of all roots = -7) + 8*(74+5)

    = -21+632

    =611

  2. i think

    under ideal stretching, it shud be 0.5 metres, and in real case it wud be slightly greater than 0.5 m if the thickness of rope is <<1 meters, dunno something feels me there is more to it .

  3. I have decided to start another series. This time it is about codes:

    A man was having a hard time remembering a password that was 7 characters and consisted of letters and numbers. He wrote down the phrase, "You force heaven to be empty." on a card to remember the password.

    What was the password?

    U472B80 , not sure bout 80
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