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IIT level questions  1Indian Institute of Technology level questions.... whose imaginary part is positive. 2. If the roots of the equation ax²+bx+c=0 be in the ratio m:n, prove that Character is who you are when no one is looking. #2 20080203 01:12:57
Re: IIT level questions  1Let x = z^{6}. sin(kπ/3) is positive for k = 1 or 2, so in this case, z ∈ {1+i√3, i√31}. In the case where z^{6} = 8, we can use similar reasoning to show that: This time, the appropriate kvalues are 4 and 5, and so we get that z ∈ {[√(2)+i√(6)]/4, [√(2)+i√(6)]/4}. Those four values of z make up the complete solution. Why did the vector cross the road? It wanted to be normal. #3 20080203 22:15:57
Re: IIT level questions  12: for a constant k According to Viètes identity: i.e. substituting b and c in the original equation yields: #4 20080315 16:02:31
Re: IIT level questions  1
