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2007 iTest Problems/Problem 36

Revision as of 22:57, 7 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == Let b be a real number randomly selected from the interval <math>[-17,17]</math>. Then, m and n are two relatively prime positive integers such that m/n is the pro...")
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Problem

Let b be a real number randomly selected from the interval $[-17,17]$. Then, m and n are two relatively prime positive integers such that m/n is the probability that the equation $x^4+25b^2=(4b^2-10b)x^2$ has $\textit{at least}$ two distinct real solutions. Find the value of $m+n$.

Solution

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