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The number of non-real roots of the equation x^15+1=0 is ?

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inequation why please elucidate x1*x2+x3*x4<=n its maximum when x1=x2, x3=x4

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How many of the solutions to a+b+c+d=20 have one or two of the `digits' equal to 10?

if a+b+c=6 and ab+bc+ca= 1 than find ab(b+a)+bc(c+b)+ac(a+c)+3abc

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Two friends A and B run on a 550 m circular track such that A (who is faster) overtakes B in the middle of A's 6th round for the first time.If they were to run on a stright track of length 10000 m, find approximately how much headstart A can give to B such that they finish the race at the same time?
A 1818m B 1837m C 1762m D 1265m

[SOLUTION] Since A overtakes B in the middle of the 6th round,B must be in the middle of the 5th round. So A has covered 5.5 times the track length while B has covered 4.5 times the track length. For every 5.5m covered by A,B covers 4.5 m. 11m covered by A=9 m covered by B Headstart in 11m race=2m Headstart in 10000m race=(2*10000)/11=1818m

In the solution, it is said B must be in middle of the 5th round. How did we reach to this conclusion?

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