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@ -543,7 +543,8 @@ Bear in mind this is not a school test that's supposed to decide if you get to a
131. In which [science](science.md) is multiplication the same thing as division?
132. Create a fraction ([rational number](rational_number.md) that [approximates](approximation.md) [pi](pi.md) at least to 8 fractional digits, i.e. the approximation must start with 3.14159265.
133. You have 7 [fat](body_shaming.md), horribly smelling [transsexual](transsexual.md) [reddit](reddit.md) admins who all stink exactly the same except for one, which smells yet a little worse. You have a smell comparator with two chambers: you can put any number of people into the chambers and the machine will tell you if the total smell in one chamber is worse, better or equal to than in the other chamber. You can only afford to perform two measurements. How do you identify the worst smelling redditor?
134. Did you enjoy this quiz?
134. Find the [square root](sqrt.md) of the [complex number](complex_number.md) *[i](i.md)*.
135. Did you enjoy this quiz?
### Answers
@ -681,7 +682,8 @@ sin(x) / cos(x) - log2(2) = tg(x) - 1*, so we get *tg(x) >= 1*. So that will hol
131. Biology.
132. Do it like this: 3.14159265 = 314159265 / 100000000 = 62831853 / 20000000.
133. Put three and three into the two comparator chambers, leave one outside. If the smells are equal, the one outside is the worst smelling. Otherwise take the three people out of the worse smelling chamber and do the same: put one in one chamber, another in the other chamber and leave one outside. If the smells are equal, the one outside is the worst smelling, otherwise it's the one in the worse smelling chamber.
134. yes
134. Start with the equation *(a + b*i)^2 = i*, you have to find *a* and *b*. This will expand to *a^2 + 2*a*b*i -b^2 = i* which we can get to the form: *2*a*b*i + a^2 = i + b^2*; so, equating the real and imaginary parts, we now know that *abs(a) = abs(b)* and *2*a*b = 1*. From this we can deduce both solution, one is *1/sqrt(2) + i/sqrt(2)*, the other *-1/sqrt(2) - i/sqrt(2)*.
135. yes
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