mersenneforum.org Polynomials and Probability
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 2003-09-09, 16:00 #1 Orgasmic Troll Cranksta Rap Ayatollah     Jul 2003 64110 Posts Polynomials and Probability CAUTION: This is more fun (?) math problem than puzzle given P(x) = ax^2 + bx + c where a,b,c are random (uniformly distributed over the interval [-n,n]) what is the probability that P(x) has real roots?
 2003-09-09, 16:45 #2 eepiccolo     Dec 2002 Frederick County, MD 2·5·37 Posts Are a, b, and c independant?
 2003-09-09, 16:54 #3 Orgasmic Troll Cranksta Rap Ayatollah     Jul 2003 641 Posts yes
 2003-09-16, 15:59 #4 Orgasmic Troll Cranksta Rap Ayatollah     Jul 2003 641 Posts
 2003-09-16, 16:23 #5 xilman Bamboozled!     "๐บ๐๐ท๐ท๐ญ" May 2003 Down not across 52×7×67 Posts A quadratic polynomial has real roots if its discriminant is non-negative. Thus the question boils down to: what is the probability that b2 >= 4ac ? I don't think I can go much further without giving too much away. Paul

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